Question

Solve by substitute. 9y+8=x. -2x+8y=-36​

Answer 1

Answer:

Let's solve for x.

9y+8=x

Step 1: Flip the equation.

x=9y+8

Answer:

x=9y+8

Let's solve for x.

−2x+8y=−36

Step 1: Add -8y to both sides.

−2x + 8y + −8y = −36 + −8y

−2x = −8y − 36

Step 2: Divide both sides by -2.

−2x  / −2  =  −8y − 36  / −2

x=4y + 18

Answer:

x=4y + 18

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Answer 2

Answer:

(26, 2)

x = 26

y = 2

Step-by-step explanation:

Given:

9y + 8 = x

-2x + 8y = -36

Substitute (9y + 8) for x in the second equation.

-2(9y + 8) + 8y = -36

Then distribute and solve.

-18y + (-16) + 8y = -36

Combine like terms.

-10y - 16 = -36

-10y = -20

y = 2

Solve for x by substituting the y value (2) into 9y + 8 = x.

9(2) + 8 = x

18 + 8 = x

x = 26

Therefore, the solution is (26, 2) in terms of (x, y).