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$Find the solution of the system of equations. {:[9x+y=-12],[7x+y=-10](_________,________)":}$

Find the solution of the system of equations. $\newline$ $\begin{array}{l} 9 x+y=-12 \\ 7 x+y=-10 \end{array}$ $\newline$ (_,)

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Write an equation word problem

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Q. Find the solution of the system of equations.

\newline

\begin{array}{l} 9 x+y=-12 \\ 7 x+y=-10 \end{array}

\newline

(_________,________)

Eliminate y: Subtract the second equation from the first to eliminate y. $\newline$ $(9x + y) - (7x + y) = -12 - (-10)$ $\newline$ $2x = -2$
Solve for x: Divide both sides by $2$ to solve for x. $\newline$ $\frac{2x}{2} = \frac{-2}{2}$ $\newline$ $x = -1$
Solve for y: Substitute $x = -1$ into the first equation to solve for y. $9(-1) + y = -12$ $-9 + y = -12$
Solve for y: Substitute $x = -1$ into the first equation to solve for y. $9(-1) + y = -12$ $-9 + y = -12$ Add $9$ to both sides to solve for y. $y = -12 + 9$ $y = -3$

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