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

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

y = 9

\newline

–2x − y = –7

\newline

(_____, _____)

Substitute and Simplify: Substitute $y = 9$ into the equation $–2x − y = –7$ and then simplify. $\newline$ Substitute $9$ for $y$ in $–2x − y = –7$ . $\newline$ $–2x − 9 = –7$
Isolate Variable Term: Isolate the variable term. $\newline$ $-2x - 9 = -7$ $\newline$ $-2x - 9 + 9 = -7 + 9$ $\newline$ $-2x = 2$
Solve for x: Solve for x. $\newline$ $-2x = 2$ $\newline$ $\frac{-2x}{-2} = \frac{2}{-2}$ $\newline$ $x = -1$
Find Ordered Pair Solution: We found: $\newline$ $x = -1$ $\newline$ $y = 9$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -1$ and $y = 9$ into $(x, y)$ . $\newline$ The solution is $(-1, 9)$ .

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