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Solve. $\newline$ $y = -9$ $\newline$ $-7x - 8y = 2$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

y = -9

\newline

-7x - 8y = 2

\newline

(_____, _____)

Substitute $y = -9$ : Substitute $y = -9$ into the equation $-7x - 8y = 2$ . $\newline$ Substitute $-9$ for $y$ in $-7x - 8y = 2$ . $\newline$ $-7x - 8(-9) = 2$
Simplify the equation: Simplify the equation. $-7x + 72 = 2$
Isolate the variable term: Isolate the variable term. $\newline$ $-7x + 72 - 72 = 2 - 72$ $\newline$ $-7x = -70$
Solve for x: Solve for x. $\newline$ $-7x = -70$ $\newline$ $\frac{-7x}{-7} = \frac{-70}{-7}$ $\newline$ $x = 10$
We found: We found: $\newline$ $x = 10$ $\newline$ $y = -9$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 10$ and $y = -9$ in $(x,y)$ . $\newline$ The solution is $(10, -9)$ .

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