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Solve. $\newline$ $-7x - 6y = -13$ $\newline$ $x = -5$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-7x - 6y = -13

\newline

x = -5

\newline

(_____, _____)

Substitute $x = -5$ : Substitute $x = -5$ into the equation $-7x - 6y = -13$ . $\newline$ Substitute $-5$ for $x$ in $-7x - 6y = -13$ . $\newline$ $-7(-5) - 6y = -13$ $\newline$ $35 - 6y = -13$
Isolate variable term $y$ : Isolate the variable term $y$ . Subtract $35$ from both sides of the equation to isolate $-6y$ . $35 - 6y - 35 = -13 - 35$ $-6y = -48$
Solve for y: Solve for y. $\newline$ Divide both sides by $-6$ to solve for y. $\newline$ $-6y / -6 = -48 / -6$ $\newline$ $y = 8$
Find ordered pair solution: We found: $\newline$ $x = -5$ $\newline$ $y = 8$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -5$ and $y = 8$ into $(x, y)$ . $\newline$ The solution is $(-5, 8)$ .

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