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

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

2x - y = -7

\newline

y = -9

\newline

(_____, _____)

Substitute $y = -9$ : Substitute $y = -9$ into the first equation $2x - y = -7$ . $\newline$ $2x - (-9) = -7$ $\newline$ $2x + 9 = -7$
Isolate variable $x$ : Isolate the variable $x$ by subtracting $9$ from both sides of the equation. $2x + 9 - 9 = -7 - 9$ $2x = -16$
Divide by $2$ : Divide both sides of the equation by $2$ to solve for x. $\newline$ $\frac{2x}{2} = \frac{-16}{2}$ $\newline$ $x = -8$
Find ordered pair: We have found the values of $x$ and $y$ : $x = -8$ $y = -9$ The solution in the form of an ordered pair is $(-8, -9)$ .

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