Solve this system of linear equations. Separate
the x- and y-values with a comma.
-20x = -16 - 9y
- 14x = -22 - 9y

Answers

Answer 1

Answer:

(x, y)

(-1, -4)

Step-by-step explanation:

[tex]-20x=-16-9y\\-14x=-22-9y[/tex]

Solve by elimination, subtract the 2nd row from the 1st row:

[tex](-20x-(-14x))=(-16-(-22))+(-9y-(-9y))\\(-20x+14x)=(-16+22)+(-9y+9y)\\-6x=6[/tex]

Solve for x in the equation above

[tex]-6x=6\\x=-1[/tex]

Now we have the value of X, substitute it into any of the 2 original equations:

[tex]-20x=-16-9y\\-20(-1)=-16-9y[/tex]

Solve for y:

[tex]-20(-1)=-16-9y\\20=-16-9y\\36=-9y\\-4=y\\y=-4[/tex]

Please mark brainliest if this answer helps you. I can provide more information if needed.


Related Questions

Denise is going on a road trip with some friends. For the first leg of their trip, they drive on the highway for 2.5 hours before taking an exit. If they maintain a steady pace of 64 miles per hour, how far do they drive on the highway?

Answers

Answer:

160

Step-by-step explanation:

We know that [tex]\left \{ {{t=2.5} \atop {v=64}} \right.[/tex]

Formulate and substitute: [tex]d=2.5[/tex]×[tex]64[/tex]

Calculate the product or quotient: [tex]160[/tex]

Answer: [tex]160[/tex]

Please help!! I don't have a whole lot of time!!​

Answers

The midpoint of the line segment is the average of the respective coordinates.

So the x-value of the midpoint if the average of the two individual x-coordinates.

    (-3.5 + 4)/2 = 0.5/2 = 0.25

And the y-value of the midpoint if the average of the two individual y-coordinates.

    (2 + (-2.5))/2 = -0.5/2 = -0.25

So, the midpoint is (0.25, -0.25) or (1/4, -1/4) or "C".

Choose the best answer.
The area of the face of a quarter is about
O A. 63 cm
OB. 63 m2
O C. 63 mm2
O D. 63 dm?

Answers

Answer:

One face of a US quarter has an area of approximately 461.21 square millimeters.

Step-by-step explanation:

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a
green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same
shade of green paint?

Answers

I think any of these would work

10;18

15;28

20;35

Answer:

5:9

Step-by-step explanation:

To Find:

ratio of yellow paint to blue paint to make a particular shade of green.

Solution:

The ratio can be written as 5 to 9, or 5:9

We know that if we mix 5 gallons of blue paint with 9 gallons of yellow paint we get the particular shade of green that we want.

Then the ratio of gallons of blue paint to gallons of yellow paint is 5 to 9, or 5:9

Meaning that for every 5 gallons of blue paint we need 9 of yellow paint.

Jackie works as a server at a local restaurant. She makes $8 per hour. She worked 34 hours last week. She made $250 in tips. What was her gross pay?

Answers

8 times 34 = 272
272 plus. 250 = 522

Sara left a bin outside in her garden to collect rainwater. She notices that one over eight gallon of water fills two over three of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.

Answers

Answer:

3/16

Step-by-step explanation:

In order to get the amount of water to fill a bin, we just divide the amount of water by the fraction of the bin it fills. This makes the unit of the resulting answer as gallons/bin or gallons per bin.

Which steps show how to use the distributive property to evaluate 5 * 58?

Answers

Answer:

B.

Step-by-step explanation:

When using the distributive property, you distribute the leading number to each number inside the parentheses.

Answer:

Option B is correct.

Step-by-step explanation:

The answer of Option B is correct. 58 × 5 = 290.

Therefore, Option B is correct.

____________is the exact average deviation of data values from the mean in squared units, and ____________ is the approximate average deviation of data values from the mean in regular units.

Answers

Variance is the exact average deviation of data values from the mean in squared units and the Standard deviation of data values from the mean in regular units.

Variance is a statistical measure of the dispersion of numbers in a data collection. Variance estimates how much more each number in the set deviates from the mean, and from each and every other number in the set.

The variance is a measure of the degree of variability. It is determined by averaging the squared deviations out of the mean.

The greater the spread of the data, the greater the variance in proportion to the mean.

The standard deviation is determined as the square root of variance by calculating the departure of each data point from the mean. The standard deviation represents the average level of variation in your dataset. It informs you how far each number deviates from the mean on average.

Learn more about Variance here:

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The legs of a right triangle are √5 feet and square root √11 feet long. How long is the hypotenuse?

Answers

[tex]v^{2}[/tex]Answer:

4 feet long

Step-by-step explanation:

Pythagorean Theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

In this problem, a and b are the legs of the triangle, while c is the hypotenuse

Plugging the values of [tex]\sqrt{5}[/tex] and [tex]\sqrt{11}[/tex] to the equation you get:

5 + 11 = [tex]c^{2}[/tex]

Therefore, [tex]c^{2}[/tex] = 16, and by taking the square root you find that c, or the hypotenuse, must equal 4.

find the formula for a function of the form y=ae^(-x)+bx with global minimum at (1,10).

Answers

The formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].

We can use first and second derivative tests to determine all coefficients of the function described in statement so that the point given is an absolute minimum. The expressions for such tests are introduced below:

FDT

[tex]-a\cdot e^{-x}+b = 0[/tex] (1)

[tex]b = a\cdot e^{-x}[/tex]

SDT

[tex]y''=a\cdot e^{-x}[/tex] (2)

Where [tex]y'' > 0[/tex].

If we know that [tex](x, y) = (1, 10)[/tex], then we have the following system:

[tex]10 = a\cdot e^{-1}+b[/tex] (3)

[tex]b = a\cdot e^{-1}[/tex] (4)

[tex]y'' = a\cdot e^{-1}[/tex] (5)

By (4) in (3):

[tex]10 = 2\cdot a\cdot e^{-1}[/tex]

[tex]a = \frac{10}{2\cdot e^{-1}}[/tex]

[tex]a = 5\cdot e[/tex]

By (5) we prove that [tex]y'' > 0[/tex], and we get the value of [tex]b[/tex] by (4):

[tex]b = 5[/tex]

Thus, the formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].

We kindly invite to check this question on first and second derivative tests:  https://brainly.com/question/6097697

In a family with 77 children, excluding multiple births, what is the probability of having exactly 22 girls

Answers

Answer:

22/77

Step-by-step explanation:

just put the probable amount over the total amount for these

A bucket holds 5l when full.Find the quantity of water in litres and millilitres when the bucket is 3/4 full.​

Answers

Answer:

3.75 lt or 3750 mlts

Step-by-step explanation:

lisa's father gave her $1032 to buy a present. this covered 3/5 of the cost. How many did the present cost?

Answers

Answer:

$1720

Step-by-step explanation:

1032 is 3/5 of the cost.

Divide 1032 by 3/5, which is 1720.

Thus, the answer is $1720.

The cost of the present day will be $1,720.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Lisa's father gave her $1032 to buy a present. This covered 3/5 of the cost.

The cost of the present day will be given by the division of the numbers 1032 and 3/5.

⇒ 1032 / (3/5)

⇒ 1032 x 5 / 3

⇒ $1,720

The cost of the present day will be $1,720.

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Is the ordered list 26, 39, 52, 65, 78 an arithmetic sequence?

Answers

Answer:

Yes

Step-by-step explanation:

It is an arithmetic sequence since it has a common difference which is 13.

78-65 = 13

65-52 = 13

52-39 = 13

39-26 = 13

Someone help me pls

Answers

Answer:

-1 = 2(-1 -1) = -4

0 = 2(0-1) = -2

1 = 2(1-1) = 0

2 = 2(2-1) = 2

Step-by-step explanation:

x = the number on the left column

for the middle colum, you need to do 2(x -1)

for the right column, you do : (x - 1) x 2)

(2, 7); m = -3
(Write an equation in point-slope form of the line that passes through the given point and has the given slope)

Answers

Answer:

Step-by-step explanation:

y - 7 = -3(x - 2)

y - 7 = -3x + 6

y = -3x + 13

Team A beat Team B by 15 points in a football game . If a total of 35 points were scored , what was the final score of the game ?

For team A and team B

I WILL MARK YOU A BRAINLIEST​

Answers

Answer:

25-10  (25 - A and 10 - B)

Step-by-step explanation:

25 - 10 equals the 15 point margin

25 plus 10 equals the 35 point score combined

Hope it helps

4 kilometers x miles

Answers

Answer:

6 437 376 m2 (2.49 mi)

Step-by-step explanation:

0.62137119 miles = 1 kilometer

PLZ HELP
What question should you ask yourself first when factoring polynomials?

A: Can I divide all terms by a GCF?

B: What is the exponent of the first term?

C: What is the degree of the polynomial?

D: Are there four terms?

Answers

C. Answer correct I think.

Answer:

The correct answer is A: Can I divide all terms by a GCF?

explanation:

I took the quiz

Victor rode his
skateboard 18 miles. If one kilometer
is approximately equal to 0.6 miles,
how many kilometers did Victor skateboard last week?

Answers

Answer:

30 kilometers

Step-by-step explanation:

18 divided by 0.6 is 30

Easyyyy 30 kilometers

Triangle Angle Theorems Instruction Active Proving the Sum of the Interior Angle Measures of a Triangle ls 180° Try Angles Lines Statements Reasons Given: y || 2 Prove: m25 + m 22+ m26 = 180° 25 26 21 23 m21 m26 m23 m 25 A M M Reasons Statements 1 3 2 LE 4 5 Lo 7 6 B с Assemble the proof by dragging tiles to the Statements and Reasons columos.​

Answers

Answer:

We would need to see the tiles and table. If you'd attach them I'd love to help

Step-by-step explanation:

The triangle is solved and the measure of internal angles = 180°

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Let the two parallel lines be y and z

where y ║ z

And , ∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem.

So , ∠1 = ∠5 and ∠3 = ∠6

And , the measure of ∠1 + ∠2 + ∠3 = 180° ( angles on straight line )

And , the measure of ∠5 + ∠2 + ∠6 = 180° ( angles on straight line )

where the measure of ∠1 = ∠5 ( alternate interior angles )

And , the measure of ∠3 = ∠6 ( alternate interior angles )

Hence , the triangle is solved

To learn more about triangles click :

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The complete question is attached below :

Triangle Angle Theorems Instruction Active Proving the Sum of the Interior Angle Measures of a Triangle ls 180° Try Angles Lines Statements Reasons Given: y || 2 Prove: m25 + m 22+ m26 = 180°

Help plz I don’t understand how to do this math below

Answers

1. [tex] \frac{1}{3} \times \frac{2}{5} \\ \frac{1 \times 2}{3 \times 5} = \frac{2}{15} [/tex]

2. [tex] \frac{2}{5} \div \frac{3}{5} \\ \frac{2}{5} \times \frac{5}{3} \\ = \frac{2}{3} [/tex]

- BRAINLIEST answerer

1. When multiplying fractions, multiply the numerators and multiply the denominators:

1/3 x 2/5 = (1 X 2) / (3 X 5) = 2/15

2. When dividing fractions multiply by the inverse of the second fraction.

2/5 / 3/5 = 2/5 x 5/3 = 10/15 = 2/3

[tex]5/12 + 11d/12 - 3 = 3d + 7 - 4d.[/tex]

PLEASE HELP!!

Answers

d=5.


Hope this helps!! :)

What would be the next number in this series? 135 45 180 60 240 80

Answers

Answer:

135/45 =3

180=45 multiple by 4

180/60=3

240=60 multiple by 4

It is divide.by 3 and multiply by 4

hence =80 multiply 4= 320

10. Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 3 liters of natural oil for every 4
liters of synthetic oil. In order to make 518 liters of Petrolyn oil, how many liters of natural oil are needed?
Step by step please

Answers

you have the ratio of natural:synthetic so;

3:4

3+4=7

357/7=51

3*51:4°51

153:204

therefore, it'd be 204 litres of synthetic oil!!

i hope this helps you!!

In parallelogram HJKL if JM=19 find ML.

Answers

Answer:

19

Step-by-step explanation:

in any parallelogram the diagonals bisect each other evenly. that means if JM = 19, ML is also 19. hope this helps

Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount. The first customer paid $12 for 14 postcards and 5 large envelopes. The second customer paid $24.80 for 10 postcards and 15 envelopes. What was the cost in dollars of each large envelope?
A-$1.42
B- $1.15
C- $0.35
D- $0.63

Answers

The cost in dollars of each large envelope is $1.42.

Two equations can be derived from this question:

14p + 5l = 12 equation 1

10p + 15l = 24.80 equation 2

Where:

p = postcards

l = large envelopes

To determine the cost of large envelopes, multiply equation 1 by 10 and equation 2 by 14.

140p + 50l = 120 equation 3

140p + 210 = 347.20 equation 4

Subtract equation 3 from 4

227.20 = 160l

Divide both sides of the equation by 160

l = 227.20 / 160

l  = $1.42

To learn more, please check: brainly.com/question/23589883

How much flour and vanilla would you need for 5 batches of cookies

Answers

Answer:  25 cups of flour & 10 teaspoons of vanilla

Step-by-step explanation: A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.

5 x 5 is 25 cups of flour

2 x 5 is 10 teaspoons of vanilla

Which rational number could be graphed between 0 and 1?


A number line going from negative 5 to positive 3 in increments of 1.

O Negative one-half

O One-fourth

O Three-halves

O 1.75

Answers

O NEGATIVE ONE-HALF ........

Answer:

answer is D

Step-by-step explanation:

the answer is 1.75

A chemist has three different acid solutions. The first acid solution contains 20 % 20% acid, the second contains 30 % 30% and the third contains 60 % 60% . They want to use all three solutions to obtain a mixture of 90 90 liters containing 35 % 35% acid, using 2 2 times as much of the 60 % 60% solution as the 30 % 30% solution. How many liters of each solution should be used

Answers

Answer:

Step-by-step explanation:

37,4gam

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