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Solve. $\newline$ $-2x - 2y = 2$ $\newline$ $y = -4$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-2x - 2y = 2

\newline

y = -4

\newline

(_____, _____)

Substitute $y = -4$ : Substitute $y = -4$ into the equation $–2x − 2y = 2$ and then simplify. $\newline$ Substitute $-4$ for $y$ in $–2x − 2y = 2$ . $\newline$ $–2x - 2(-4) = 2$ $\newline$ $–2x + 8 = 2$
Isolate variable term: Isolate the variable term to solve for $x$ . $-2x + 8 = 2$ Subtract $8$ from both sides of the equation. $-2x + 8 - 8 = 2 - 8$ $-2x = -6$
Divide by $-2$ : Divide both sides by $-2$ to find the value of x. $\newline$ $-2x / -2 = -6 / -2$ $\newline$ $x = 3$
Write solution as ordered pair: We have found: $\newline$ $x = 3$ $\newline$ $y = -4$ $\newline$ Now, we can write the solution as an ordered pair. $\newline$ The solution is $(3, -4)$ .

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