Approximate the solution to this system of equations. y = –2x + 6 y = 4x – 1

Answers

Answer 1

Answer:

x = 1[tex]\frac{1}{6}[/tex], y = 3[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

y = -2x + 6 --- Equation 1

y = 4x - 1 --- Equation 2

Since both (-2x + 6) and (4x - 1) have the same total, y, they are equal.

-2x + 6 = 4x - 1

Isolate the like terms.

6 + 1 = 4x + 2x

Evaluate like terms.

6x = 7

Find x.

x = [tex]\frac{7}{6}[/tex]

x = 1[tex]\frac{1}{6}[/tex]

Substitute x = [tex]\frac{7}{6}[/tex] into Equation 2:

y = 4x - 1

y = 4([tex]\frac{7}{6}[/tex]) - 1

  = 4[tex]\frac{2}{3}[/tex] - 1

y = 3[tex]\frac{2}{3}[/tex]


Related Questions

F(x) = x-10 f(10)=

Can somebody help me

Answers

The answer would be 0.

This is because once the 10 is inputted in the equation as x, you will get:
F(10)= 10 - 10
which results in zero.

A 3.0 kg book sits on a very high shelf 4.5 meters above the ground. Calculate the potential energy of the book.

Answers

MASS*GRAV*HEIGHT=PE
MASS=3
GRAV=9.8
HEIGHT=4.5
3*9.8*4.5=132.3
POTENTIAL ENERGY= 132.3

How old is my uncle if 400 reduced by 2 times his age is 244?

Answers

Answer:

My uncle is 78 years old.

Step-by-step explanation:

Let the age of your uncle be x.

400 - 2x = 244

Shift (-2x) to the other side and change it to (+2x).

400 = 244 + 2x

Shift (+244) to the other side and change it to (-244).

400 - 244 = 2x

Evaluate.

2x = 156

Find x.

x = 156 ÷ 2

x = 78

1 Fie mulțimea de numere reale: A={5;-3,1(7);-3; 2,8; 213; -49}.
Determinați mulțimea AZ.
Determinați mulțimea A(R-Q).
Ordonați crescător elementele mulțimii A.

Answers

Answer:

j is the answer

Step-by-step explanation:

thats correct

If I make $1,000 per minute how much time will it take to make $1,000,000?

Answers

Answer:

it would take 1,000 minutes

Step-by-step explanation:

1,000,000/1,000=1,000

Answer: I think it’ll take 1,000 minutes

Step-by-step explanation:

If you multiply 1,000 and 1,000 it’ll equal 1 million.

Hoped this helps.

guys Im getting a tattoo I'm 13 tho..but should I get butterflies or hearts? let me know assasp​

Answers

I would personally like butterflies :)

what polynomial function has the zeros -3,1,5

Answers

Answer:

x³ - 3 x² - 13 x + 15 = 0

Step-by-step explanation:

Basically you can create three factors like this:

(x+3)(x-1)(x-5)=0

That will each represent one zero.

Work it out and you get x³ - 3 x² - 13 x + 15 = 0

Find the x- and y-intercepts of the line with the given equation.
Y=4/3x-2

Answers

x intercept, when y = 0
0 = 4/3x - 2
2 = 4/3x, x = 3/2
y intercept, when x = 0
y = 4/3(0) - 2
y = 0-2, y = -2
Solution: x intercept: (3/2, 0)
y intercept: (0, -2)

The slope of a line is 1/7 and it passes through the point (21, 14). What is
the equation of the line in point-slope form?*

Answers

Answer: the equation of the line is y=1/7x+11

Write this percentage as a fraction in its simplest form.
46%

Answers

Answer:

23/50

Step-by-step explanation:

46% is the same as 46/100 that can be simplified to 23/50

The percentage 46% as a fraction in its simplest form is 23/50.

The given fraction is 46%.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The percentage can be written in fraction by dividing the number by 100.

Here, 46% = 46/100

= 23/50

Therefore, the percentage 46% as a fraction in its simplest form is 23/50.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ6

Which of the following could represent the side lengths of a triangle? Check all that apply.

Answers

Answer:

a.) B.) and C.)

Step-by-step explanation:

The first 3 hope this helps

HELPpPppPp ASAP I rlly need help I’m timeddddd frrr I will give u a Brainly thing just help and show your workkkk

Answers

Answer:

1

I hope this helps! Do you need help on anything else?

Okay here are some pictures of the work, I can't do fractions on this. :)

Need Help. The question is down below
These are NOT answer choices

Please show your work for each of these problems

Answers

Useful Log Rules:

log(A*B) = log(A)+log(B)  .......... log rule 1log(A/B) = log(A) - log(B) .......... log rule 2log(A^B) = B*log(A)  ................... log rule 3

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

Part (a)

All logs shown below are base 3.

log(500) = log(5*100)

log(500) = log(5*10^2)

log(500) = log(5)+log(10^2) .... use log rule 1

log(500) = log(5) + 2*log(10) .... use log rule 3

log(500) = 1.4650 + 2*2.096 ....... substitution

log(500) = 5.657

Answer: 5.657

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

Part (b)

All logs shown below are base 3.

log(2) = log(10/5)

log(2) = log(10) - log(5) .... use log rule 2

log(2) = 2.096 - 1.4650  ....... substitution

log(2) = 0.631

Answer: 0.631

use the multiples method to find Least common denominator , then find the sum or difference , please help me understand dis ill mart brainliest ​

Answers

i’m so sorry i have to comment on this i rlly need points- i don’t know the answer :|

Answer:

25/28

Step-by-step explanation:

3/4+1/7

21+4/28

25/28

Which of the following equations is equivalent to 2(3x - 1) = 3 - (- 2 - x)?

1. 6x - 2 = 1 - 4
2. 6x - 1 = 1 + x
3. 6x - 2 = 5 + x
4. 6x - 1 = 5 - x

Answers

Answer:

It would be 2. 6x - 1 = 1 + x

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The drawing below shows 3 parking lots that enclose a shopping mall shaped like a right triangle. If Lot A’s perimeter is 40 miles and Lot B’s perimeter is 24 miles, what is the perimeter of Lot C?

Answers

Answer:

40 miles because they are da same size

Step-by-step explanation:

The perimeter of lot C is 46.64 miles

Lot C is a square, hence the perimeter of lot C with a length of each side as a miles is:

Perimeter = 4 * length = 4a

40 = 4a

a = 10 miles

Lot B is a square, hence the perimeter of lot B with a length of each side as b miles is:

Perimeter = 4 * length = 4b

24 = 4b

b = 6 miles

Let c represent the length of lot A,, since a, b, c form a right angle triangle. Using Pythagoras theorem:

c² = a² + b²

c² = 10² + 6²

c² = 136

c = 11.66 miles

Perimeter of lot C = 4 * c = 4 * 11.66 = 46.64 miles

The perimeter of lot C is 46.64 miles

Find out more at: https://brainly.com/question/21394374

Which is the best buy?

$4.08 for 12 candy bars
$3.10 for 10 candy bars
$3.85 for 11 candy bars
$3.64 for 13 candy bars

Answers

Answer:

3.64 for 13 candy bars

Step-by-step explanation:

can someone help answer this?

Answers

9√2 is squared first.

so its 162.

now according to Pythagoras theorem,

x2+x2=162

2x^2= 162

x^2= 162÷2

x^2= 81

x= √81

x=9

in a right angled triangle, (height)^2 + (base)^2 = (hypotenuse)^2

here we have , height as X and base as X too , so; x^2 + x^2 = (9√2)^2

2(X)^2 = 162

x^2 = 162/2

X^2 = 81

X = √81 = 9

Add the equation u-v/8v + 6u-3v/8v

Answers

Answer:

7u-4v/8

Step-by-step explanation:

u+6u=7u

-v+(-3v)=-v-3v=-4v

7u-4u/8

Help me please this is really stressing me

Answers

Answer:

0.11 centimeters/minute

Evaluate f(x) = 2x +3 for f(4)

Answers

Answer this question is = 11
f(x)=2x+3
f(4)= 2*4+3= 8+3=11

anyone please help!!!​

Answers

Answer:

The answer is D.

Step-by-step explanation:

When you subtract 9 from h, the word “then” is a key term that means it’s usually in parentheses. Then you divide three.

9x+16y=5 solve for y

Answers

Answer:

its y=-4+9x/4

I need the answers please !

Answers

Answer:

m<5 = 133°

m<8 = 47°

Step-by-step explanation:

if <2 = 47°, and <5 is supplementary to <2, that means that together they both have to equal 180°. So, to get the measure of <5, you need to do 180 - 47 to get <5 = 133°.

Now, <5 (133°) is supplementary to <8, so they both have to equal 180° together. So, you must do 180 - 133 to get <8 = 47°. Or, another way to get <8 is to notice that <2 and <8 are alternate interior angles, which means they equal the same amount. So if <2 = 47°, then so does <8.

simplify 8r - 3j + 9j - 2r

Answers

Answer:

6j + 6r :)))))))))))))))))

Answer:

6j + 6r

Step-by-step explanation:

a water spinkler sends water out in a circular pattern how large is the watered area if the watering pattern is 12 ft

Answers

Answer:

The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.

The Area of a circle is

πr2=808.64

(3.14)r2=808.64

Divide both sides by 3.14

r2=257.5286624

Im going to make it easy for you what is . 5x100

Answers

500:)))))))))))))))))))

500 lol

thanks for the free points!

have a great day!

If a plane
files 5,000 km, how many meters would this be

Answers

Answer:

5

Step-by-step explanation:

Km to m=1000 so 5000÷1000=5

It’s 5000000 you have to multiply it by 1000

John walks m miles each week. Marie’s distance can be found by using the expression : 3m + ½

If John walks 7 miles in one week, how many miles does Marie walk?

Answers

Answer:

21.5 Miles or 21 ½ Miles

Step-by-step explanation:

Plug in 7 as m to 3m + ½.

Then, I get 3(7) + ½.

That concludes to 21 + ½

Add the ".5" or "½" at the end

So, answer is you get is 21.5 of 21 ½

Please help and explain process too. Thank you!! ​

Answers

The answer is x^2+2x-5
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