Solve each system of equations algebraically

y=x+2
y=-3x​

Answers

Answer 1

Answer:

Your answer is: (-1/2, 3/2)

Step-by-step explanation:

y = x + 2

y = -3x

Use substitution by plugging the second equation into the first.

-3x = x +2

Subtract x from both sides to combine the variables.

-4x = 2

Divide both sides by -4 to isolate the variable x.

x = 2/-4

Simplify.

x = -1/2

Plug x into one of the equations to find y.

y = (-1/2) + 2

y = 3/2

Plug x into the other equation to confirm your answer.

y = -3(-1/2)

y = 3/2

Your answer is: (-1/2, 3/2)


Related Questions

Please help I have tried multiple times but keep getting it wrong.

Solve the following inequality, then graph the solution set. | x | − 6 ≥ − 4. Answer in interval notation.

Answers

Answer:

inequality form: x

x≤ 4 or x≥8

Interval Notation:

(-∞, 4] U[8,∞)

Explanation

Solve the following inequality, then graph the solution set. | x | − 6 ≥ − 4. Answer in interval notation.

HELP I’LL GIVE BRAINIEST

Answers

3 , 2 , 1 ,4
Explaining:

Answer:

1 = Definition of a parallelogram

2 = Alternate interior angle theorem

3 = Angle addition postulate

4 = Substitution

TIME REMAINING
59:50
The table shows the mean number of basketball goals made by four random samples of players from the school team
during this year's season.
Sample #
Sample Mean
Number of Goals
7
1
4
2
3
5
4
8
Is a valid prediction for the mean of the population possible using these samples?
O No, there are not enough samples.
Yes, the sample means are all less than 10.
Yes, the variation of the sample means is small.
O No, the variation of the sample means is too great.
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

I'd say yes, because you have a good variety of samples. (B.)

Step-by-step explanation:

what is the division expression for 6/10

Answers

6 divided by 10
the fraction bar means divide

6/10 is 6 divided by 10 the bar is the division sign

Step-by-step explanation:

it can be broken down further

[tex] \frac{6}{10} = \frac{3}{5} [/tex]

If f(x) = 3x - 2 then what is f(10)/​

Answers

Answer:

28

Step-by-step explanation:

f(10) means replace all x's with 10. f(10) = 3(10) - 2 -> 30-2 = 28

how do you graph 7x + 2y = -8

Answers

Answer:You set it up as y=mx+b

Step-by-step explanation:

Find the perimeter of the trapezoid. Leave your answer in simples radical form

Answers

Answer:

[tex]105+15\sqrt{3}in[/tex]

Simplify and write 7a^2(sqrt of 75a^3) + 3a^2(sqrt of 12a^3) in radical form.

Answers

Answer:

41a³√3

Step-by-step explanation:

Simplify:

7a²√75a³ + 3a²√12a³ = 7a²√(5a²)(3) + 3a²√(2a)²(3) - 7a²(5a)√3 + 3a²(2a)√3 = 35a³√3 + 6a³√3 =41a³√3

What is the best approximation of the solution to the system to
the nearest integer values?
o
(3, 4)
o
(2, 3)
O (1, 3)
o (3, 2)

Answers

Answer:  (2,3)

====================================================

Explanation:

The intersection point of the two lines is where the solution point is located.

The x coordinate of that intersection point is a bit smaller than x = 2, but when rounded to the nearest whole number, we would get to x = 2.

At the same time, the y coordinate of the intersection point is a bit above y = 3, which rounds to this value when rounding to the nearest whole number.

So that's how we get to (2,3)

a quotient that is between 8÷0.001 and 8÷110.

Answers

Answer:

Step-by-step explanation:

I don't actually know if this is what you want but

8 divided by 0.001 is 8000

and

8 divided by 110 is 0.07272727272727272

I hope this helps

-20x(-5)-50 evaluate ​

Answers

Answer:

it's 50 because I know trust me

Answer:

50

Step-by-step explanation:

-20x-5-50= 50

can someone plz help

Answers

Answer:

16

Step-by-step explanation:

Answer:

Your Answer is 16 bro Okk and good morning and please mark me as brainliest

2x-1-(-x+3) = 6-2x SHOW STEPS....DUE TODAY

Answers

Answer:

x=2

Step-by-step explanation:

Simplify both sides of the equation.

2x−1−(−x + 3)=6−2x

(Distribute the Negative Sign)

2x−1 + −1(−x + 3)=6−2x

2x + −1 + −1(−x) + (−1)(3)=6−2x

2x + −1 + x + −3=6−2x

2x + −1 + x + −3=6 + −2x

(Combine Like Terms)

(2x + x) + (−1 + −3)=−2x+6

3x + −4=−2x + 6

3x−4=−2x + 6

Add 2x to both sides.

3x−4 + 2x=−2x + 6 + 2x

5x−4=6

Add 4 to both sides.

5x−4 + 4=6 + 4

5x=10

Divide both sides by 5.

5x/5=10/5

x=2

A right triangle has legs with lengths of 6in and 8in. What is the length of the hypotenuse

Answers

You require the Pythagorean Theorem: in a right triangle the sum of the squares of the legs equals the square of the hypotenuse.
In this case 6^2 + 8^2 = 36 + 64 = 100 = 10^2, i.e. the hypotenuse is 10.
Please note that a so-called 3-4-5 right triangle is the smallest right triangle which has integer sides...and of course, a 6-8-10 triangle like this one is simply a magnification of the smaller, i.e. a so-called similar triangle.

Answer: 10

Step-by-step explanation:

the formula is √a^2+b^2=c^2

so your equation should look like this √6^2+8^2=c^2

6·6=36

8·8=64

√36+64

√100=10

the hypotenuse or c^2 is 10

Which of the following is a decomposition reaction?
reactant plus reactant yields product
reaciant minus reactant yields product
reactant yields product plus product reactant yields product times product

Answers

Answer:

Reactant plus reactant yields product.

Step-by-step explanation:

A decomposition reaction starts from a single substance and produces more than one substance. One substance as a reactant and more than one substance as the products is the key characteristic of a decomposition reaction.

Hope this helps.

I just need an explanation for both of these! Help would be greatly appreciated, thanks. :))

Answers

Answer:

1. Well, to cross multiply them you multiply the numerator in the first fraction times the denominator in the second fraction, then you write that number down. ... The reason we cross multiply fractions is to compare them. Cross multiplying fractions tells us if two fractions are equal or which one is greater.

2. Cross multiplying fractions to find a missing numerator or denominator for equivalent fractions works because it is a shortcut for rearranging to isolate the variable.

Step-by-step explanation:

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What single transformation was applied to triangle A to get triangle B?

Answers

Answer:

should be reflection

Step-by-step explanation:

bc a translation would just move it and rotation and dilation wouldn't work either

The single transformation was applied to triangle A to get triangle B is a reflection, in which A is reflected around the y-axis.

What is reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.

Given:

The triangles A and B are shown in the given figure,

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original,

Rotation is the process of going around a center.

A shape is translated when it is moved up, down, left, or right without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes.

Thus, triangle A is reflected as B.

To know more about reflection:

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Please i need urgent help also check my account i have more answer for high amounts of points. Part A: Which lengths are the dimensions of the garden?
A. 6.0 ft. B. 5.4 ft. C. 5.0 ft. D. 4.5 ft. E. 11.0 ft.
Part B: If Carlos decides to fence in the garden, how much fencing material should he purchase? Round your answer
to the nearest unit.
Carlos needs to purchase _________ _________.
Part C: What is the most precise name for the shape of the garden?
A. Quadrilateral B. Parallelogram C. Square D. Rectangle

Answers

Answer:

Part A: 6.0 ft, 5.4 ft

Part B: 22.8 feet

Part C: Parallelogram

(6,-5) (7,-3) (8,-1) (9,1) is this a function?

Answers

Answer:

Yes

Step-by-step explanation:

To find out if it's a function, check if any of the y values repeat. If they don't, it's a function. :)

If SU and VX are parallel lines and mUTR = 115°, what is mSTW?

Answers

Answer:

m STW = 115°

Step-by-step explanation:

here, SU || VX

m STW = m UTR

( vertical opposite angles )

Hence, STW = 115°

The bronx zoo opened at 9.00 am. In the first hour 280 people purchased admission tickets. In the second hour 25 percent more people purchased admission people than the first hour . Each ticket cost 16.25. What was the total amount of money paid for all the tickets purchased in the first two hours

Answers

Answer:

Total amount paid for tickets in the two hours =  $10,237.50

Step-by-step explanation:

Step 1

Ist Hour, 280 tickets were sold at the cost of $16.25

Amount of money made in the first hour= Number of people who purchased ticket  x price of a ticket

=280 x 16.25 =$4,550

2nd Hour, 25 % more people purchased ,

which means the total number of people who purchased tickets =

1.25 x 280= 350

Amount of money made in second hour =  Number of people who purchased ticket  x price of a ticket 350 x 16.25 =$5,687.5

Step 2

Total amount paid for tickets in the two hours =  Amount of money made in the first hour +Amount of money made in second hour

=$4,550+ $5,687.5

=$10,237.50

hELP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

It’s the number hairline

Step-by-step explanation:

Hairline cut it straight

Answer:

16x16x16x16

Step-by-step explanation:

Find the sine, cosine, and tangent of angle A. (fraction as in simplest form please.)

Answers

Answer:

SinA=3/5

CosA=4/5

TanA=3/4

Step-by-step explanation:

first we have to find what side length bc is using the Pythagorean triple formula a^2+b^2=c^2 or c^2-b^2=a^2

20^2-16^2=144 the square root of 144 is 12 so side length bc=12

so sin is opposite/hypotenuse

the opposite of angle a is 12 and the hypotenuse is 20 so sinA is 12/20 or 3/5

cos is adjacent/hypotenuse

the adjacent of angle a is 16 and the hypotenuse is 20 so cosA is 16/20 or 4/5

tan is the opposite/adjacent

the opposite of angle a is 12 and the adjacent is 16 so tanA is 12/16 or 3/4

Find the perimeter and area of a rectangle of cardboard measuring 18.7 cm by 18.5 cm

Answers

Answer:

74.4cm

Step-by-step explanation:

Perimeter is L + L + W + W

or 2L +2W

so 2(18.7) + 2(18.5) = 74.4 cm

Which number sentence is true?
8.5 <2.97
B
8.5 > 2.97
8.5 = 2.97
Please help

Answers

I'm pretty sure it's 8.5 > 2.97

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Nora works at a retail store. She earns a commission of $5.50 on each item she sells. If she sells 17 items, how much does she earn from commissions?
If Nora sells 17 items, she earns $
from commissions.

Answers

Answer:

$93.50

Step-by-step explanation:

$5.50 x 17 = $93.50

Hope that helps!

Answer:

$93.50

Step-by-step explanation:

what are the first five terms the sequence: an = 3n + 7​

Answers

Answer:

Step-by-step explanation:

we assume that we starts with n=1

a(1)=3*1+7=10

a(2)=6+7=13

a(3)=9+7=16

a(4) will be 19, a(5)=22 and so on

Type the correct answer in the box.
The product of (3 - 4) and (blank)
is 25.

Answers

Answer:

-25

Step-by-step explanation:

Since product mean multiply, we multiply (3-4) and (blank), which we'll call "n".

(3-4)n = 25

subtract in parentheses

(-1)n = 25

remove parentheses

-1n = 25

swap signs

n = -25

Every autumn, the North American Monarch
butterfly migrates up to 3,000 miles to California and Mexico where it hibernates
until early spring. The butterfly travels on average 50 miles per day.

Answers

Part A

The equation is d = 50t

This is because the slope of 50 represents how many miles per day the butterflies cover (on average). The y intercept is 0 to indicate that 0 miles have been traveled initially.

You can think of this as the equation y = 50x

If t = 1, then d = 50t = 50*1 = 50 miles have been covered

If t = 2, then d = 50t = 50*2 = 100 miles have been covered

And so on.

==========================================================

Part B

You'll have these values in the bottom row (in the order presented): 50, 100, 150, 200, 250

You can plug in the values t = 1, t = 2, t = 3, t = 4 and t = 5 into d = 50t to find those answers in bold.

Or you could add on 50 each time to generate each new value. We start at 50 since t = 1 corresponds to d = 50.

==========================================================

Part C

You can keep the pattern of 50,100,150, ... going until you reach 2500. Then note the t value that pairs with d = 2500

In my opinion, that's the slower method.

The quicker method is to plug d = 2500 into the equation for part A, and then solve for t.

d = 50t

2500 = 50t

50t = 2500

50t/50 = 2500/50 ....... divide both sides by 50

t = 50

It will take 50 days for the average distance traveled to be 2500 miles.

A cyclist rides a distance of 36 km at an average speed of 16 km/h.

Calculate the time taken to complete this ride. Give your answer in hours and minutes.

Please Help!

Answers

Answer:

2.25 hours, or 2 hours and 15 minutes.

Step-by-step explanation:

All we do is 36/16 which is 2.25. 0.25 or 1/4 of an hour is 15 minutes. So, your answer is 2 hours and 15 minutes.

It takes 2 hour and 12 minutes for the cyclist to complete the ride of 36km distance.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Total distance covered by cyclist= 36km

Average speed of the cyclist = 16km/hr

Therefore, using unitary method:

                16 km distance takes time = 1hr

Therefore, 1 km distance takes time =(1/16)hr

Therefore, 36 km distance takes time = (1/16)×36 hr

                                                     =(1/4)×9 hr

                                                     =9/4 hr

                                                     =2.25 hr

                                                      =(2+0.25)hr

                                                      =2hr+0.25hr

                                                      =2hr+0.25×60minutes

                                                      =2hr and 15 minutes.

Hence, it takes 2hr and 15 minutes for the cyclist to complete 36 km rides.

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Other Questions
Read the following passage carefully before you choose your answer.The following is an excerpt from an autobiography written in the third person by Henry Adams, a prominent Bostonian.The chief charm of New England was harshness of contrasts and extremes of sensibilitya cold that froze the blood, and a heat that boiled itso that the pleasure of hatingone's self if no better victim offeredwas not its rarest amusement; but the charm was a true and natural child of the soil, not a cultivated weed of the ancients. The violence of the contrast was real and made the strongest motive of education. The double exterior nature gave life its relative values. Winter and summer, cold and heat, town and country, force and freedom, marked two modes of life and thought, balanced like lobes of the brain. (5)Town was winter confinement, school, rule, discipline; straight, gloomy streets, piled with six feet of snow in the middle; frosts that made the snow sing under wheels or runners; thaws when the streets became dangerous to cross; society of uncles, aunts, and cousins who expected children to behave themselves, and who were not always gratified; above all else, winter represented the desire to escape and go free. Town was restraint, law, unity. Country, only seven miles away, was liberty, diversity, outlawry, the endless delight of mere sense impressions given by nature for nothing, and breathed by boys without knowing it.Boys are wild animals, rich in the treasures of sense, but the New England boy had a wider range of emotions than boys of more equable climates. He felt his nature crudely, as it was meant. (10)To the boy Henry Adams, summer was drunken. Among senses, smell was the strongestsmell of hot pine-woods and sweet-fern in the scorching summer noon; of new-mown hay; of ploughed earth; of box hedges; of peaches, lilacs, syringas1; of stables, barns, cow-yards; of salt water and low tide on the marshes; nothing came amiss. Next to smell came taste, and the children knew the taste of everything they saw or touched, from pennyroyal and flagroot2 to the shell of a pignut and the letters of a spelling-bookthe taste of A-B, AB, suddenly revived on the boy's tongue sixty years afterwards. Light, line, and color as sensual pleasures, came later and were as crude as the rest. The New England light is glare, and the atmosphere harshens color. (15)The boy was a full man before he ever knew what was meant by atmosphere; his idea of pleasure in light was the blaze of a New England sun. His idea of color was a peony, with the dew of early morning on its petals. The intense blue of the sea, as he saw it a mile or two away, from the Quincy hills; the cumuli3 in a June afternoon sky; the strong reds and greens and purples of colored prints and children's picture-books, as the American colors then ran; these were ideals. The opposites or antipathies, were the cold grays of November evenings, and the thick, muddy thaws of Boston winter. With such standards, the Bostonian could not but develop a double nature. (20)Life was a double thing. After a January blizzard, the boy who could look with pleasure into the violent snow-glare of the cold white sunshine, with its intense light and shade, scarcely knew what was meant by tone. He could reach it only by education.Winter and summer, then, were two hostile lives, and bred two separate natures. 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The second column, y, has the entries, 6.1, 2.1, negative 1.9, negative 5.9.Complete the statements about the system of linear equations represented by the tables.The equation representing the left table is.The equation representing the right table is.The solution to the system of equations is World wide what area best describes where most volcanoes are locateda.Antartic Circleb.Ring of Firec.Mid Alantic rift zoned.MediterraneanI need help on this one asap and thank you estimate the product of 11.15 and 3.6 look at the eggs *write a mixed number and an improper fraction for each mode** . Compute the exact mean (average) of the fractions below, in decimal form. helpp plzzWhich statement best represents the effects of sectionalism on the United States prior to the Civil War?States in different sections agreed to limit the spread of slavery.Northern and Southern states developed significantly differences on key issues.Federal laws on slavery only affected certain sections of the countryWestern states could not grant citizen's rights to African Americans. A fox, a coyote, and a wolf weigh a total of 120 pounds. The ratio of the weight of the fox to the weight of the coyote is 3:8. The weight of the coyote is 32 pounds. What is the weight of the wolf? PLEASE HELP I WILL REWARD BRAINLIEST this is science btw. rate this photo............... 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