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Solve. $\newline$ $-7x - 7y = 14$ $\newline$ $y = 5$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-7x - 7y = 14

\newline

y = 5

\newline

(_____, _____)

Substitute $y = 5$ : Substitute $y = 5$ into the equation $–7x − 7y = 14$ . $\newline$ $–7x − 7(5) = 14$ $\newline$ $–7x − 35 = 14$
Isolate variable term $x$ : Isolate the variable term $x$ . Add $35$ to both sides of the equation. $−7x − 35 + 35 = 14 + 35$ $−7x = 49$
Solve for x: Solve for x. $\newline$ Divide both sides by \(-7＂). $\newline$ \(-7x / $-7$ = $49$ / $-7$ ＂) $\newline$ x = \(-7＂)
Find ordered pair solution: We found: $\newline$ $x = -7$ $\newline$ $y = 5$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -7$ and $y = 5$ into $(x, y)$ . $\newline$ The solution is $(-7, 5)$ .

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