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Solve. $\newline$ $x = -3$ $\newline$ $-6x + 6y = -6$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

x = -3

\newline

-6x + 6y = -6

\newline

(_____, _____)

Substitute $x = -3$ : Step $1$ : Substitute $x = -3$ into the equation $-6x + 6y = -6$ . $\newline$ Calculation: $-6(-3) + 6y = -6$ $\newline$ $18 + 6y = -6$
Isolate y: Step $2$ : Isolate y. $\newline$ Calculation: $6y = -6 - 18$ $\newline$ $6y = -24$
Solve for y: Step $3$ : Solve for y. $\newline$ Calculation: $y = -24 / 6$ $\newline$ $y = -4$
Check the solution: Step $4$ : Check the solution with the original equations. $\newline$ Calculation: Substitute $x = -3$ and $y = -4$ into $-6x + 6y = -6$ . $\newline$ $-6(-3) + 6(-4) = -6$ $\newline$ $18 - 24 = -6$

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