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Solve. $\newline$ $-x - 9y = 13$ $\newline$ $x = 5$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-x - 9y = 13

\newline

x = 5

\newline

(_____, _____)

Substitute $x = 5$ : Substitute $x = 5$ into the first equation $–x − 9y = 13$ . $\newline$ $–(5) − 9y = 13$ $\newline$ $-5 - 9y = 13$
Isolate variable term $y$ : Isolate the variable term $y$ . $-9y = 13 + 5$ $-9y = 18$
Solve for y: Solve for y. $\newline$ $-9y = 18$ $\newline$ $y = \frac{18}{-9}$ $\newline$ $y = -2$
Find ordered pair: We found: $\newline$ $x = 5$ $\newline$ $y = -2$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 5$ and $y = -2$ in $(x,y)$ . $\newline$ The solution is $(5, -2)$ .

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