Solve. 8x − 8y = 16 x = 8 (_____, _____)

Substitute x value: Substitute the value of x into the equation. We are given x = 8, so we can substitute this value into the equation 8x − 8y = 16 to find the value of y. 8(8) − 8y = 16 64 − 8y = 16Isolate y term: Isolate the term containing y. To find the value of y, we need to isolate the term containing y. We can do this by subtracting 64 from both sides of the equation. 64 − 8y − 64 = 16 − 64 −8y = −48Solve for y: Solve for y. Now, we divide both sides of the equation by -8 to solve for y. −8y / -8 = −48 / -8 y = 6

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Solve. $\newline$ $8x - 8y = 16$ $\newline$ $x = 8$ $\newline$ (_, _)

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Math Problems

Grade 8

Solve a system of equations using any method

Full solution

Q. Solve.

\newline

8x - 8y = 16

\newline

x = 8

\newline

(_____, _____)

Substitute x value: Substitute the value of x into the equation. $\newline$ We are given $x = 8$ , so we can substitute this value into the equation $8x − 8y = 16$ to find the value of y. $\newline$ $8(8) − 8y = 16$ $\newline$ $64 − 8y = 16$
Isolate y term: Isolate the term containing y. $\newline$ To find the value of y, we need to isolate the term containing y. We can do this by subtracting $64$ from both sides of the equation. $\newline$ $64 - 8y - 64 = 16 - 64$ $\newline$ $-8y = -48$
Solve for y: Solve for y. $\newline$ Now, we divide both sides of the equation by $-8$ to solve for y. $\newline$ $-8y / -8 = -48 / -8$ $\newline$ $y = 6$