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3 years ago

7

What is the solution of the system of equations? nd y = -2x + 8 y = x - 4

1 answer:

Juliette [100K]3 years ago

4 0

Answer: x=4

Step-by-step explanation:

<u>Concept:</u>

There are three ways to solve the system of equations

Substitution
Elimination
Graphing

Here, we would use <u>substitution </u>because we have two same variables.

--------------------------------------------------------------------------------------------------

<u>Solve:</u>

Given

y = -2x + 8

y = x - 4

Substitute

-2x + 8 = x - 4

Add 4 on both sides

-2x + 8 + 4 = x - 4 + 4

-2x + 12 = x

Add 2x on both sides

-2x + 12 + 2x = x + 2x

12 = 3x

Divide 3 on both sides

12 / 3 = 3x / 3

x = 4

Hope this helps!! :)

Please let me know if you have any questions

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3 years ago

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2 years ago

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\large -\frac{2}{3}x+3=\frac{2}{3}x+\frac{1}{3}

german

Answer:

$\boxed {x = 2}$

Step-by-step explanation:

Solve for the value of $x$ :

$-\frac{2}{3}x + 3 = \frac{2}{3}x + \frac{1}{3}$

-Take $\frac{2}{3}x$ and subtract it from $-\frac{2}{3}x$ :

$-\frac{2}{3}x + 3 -\frac{2}{3}x = \frac{2}{3}x - \frac{2}{3}x + \frac{1}{3}$

$-\frac{4}{3}x + 3 = \frac{1}{3}$

-Subtract both sides and convert $3$ to a fraction:

$-\frac{4}{3}x + 3 - 3 = \frac{1}{3} - 3$

$-\frac{4}{3}x = \frac{1}{3} - \frac{9}{3}$

Since both $\frac{1}{3}$ and $\frac{9}{3}$ have the same denominator, then you would subtract the numerator:

$-\frac{4}{3}x = \frac{1 - 9}{3}$

$-\frac{4}{3}x = \frac{8}{3}$

-Multiply both sides by $-\frac{3}{4}$ , which is the reciprocal of $-\frac{4}{3}$ :

$x = \frac{8}{3} (-\frac{3}{4})$

$x = \frac{-8(-3)}{3 \times 4}$

$x = \frac{24}{12}$

-Divide $24$ by $12$ :

$x = \frac{24}{12}$

$\boxed {x = 2}$

So, therefore, the value of $x$ is $2$ .

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2 years ago

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Dvinal [7]

Answer:

13x - 8y

Step-by-step explanation:

Step 1: Write expression

(6x - y) + (7x - 7y)

Step 2: Combine like terms

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3 years ago