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Solve. $\newline$ $y = -4$ $\newline$ $-6x + 6y = -6$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

y = -4

\newline

-6x + 6y = -6

\newline

(_____, _____)

Substitute $y = -4$ : Substitute $y = -4$ into the equation $-6x + 6y = -6$ and then simplify. $\newline$ Substitute $-4$ for $y$ in $-6x + 6y = -6$ . $\newline$ $-6x + 6(-4) = -6$ $\newline$ $-6x - 24 = -6$
Isolate variable term: Isolate the variable term to solve for $x$ . $-6x - 24 = -6$ Add $24$ to both sides of the equation. $-6x - 24 + 24 = -6 + 24$ $-6x = 18$
Divide by $-6$ : Divide both sides by $-6$ to find the value of $x$ . $-6x / -6 = 18 / -6$ $x = -3$
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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