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Solve. $\newline$ $-3x - y = 3$ $\newline$ $x = -4$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-3x - y = 3

\newline

x = -4

\newline

(_____, _____)

Substitute $x = -4$ : Substitute $x = -4$ into the first equation $–3x − y = 3$ . $\newline$ Calculation: $–3(-4) − y = 3$ $\newline$ Simplification: $12 − y = 3$
Isolate variable y: Isolate the variable y. $\newline$ Calculation: $12 - y = 3$ $\newline$ Subtract $12$ from both sides: $12 - y - 12 = 3 - 12$ $\newline$ Simplification: $-y = -9$
Solve for y: Solve for y. $\newline$ Calculation: $-y = -9$ $\newline$ Multiply both sides by $-1$ : $y = 9$
Find ordered pair: We found: $\newline$ $x = -4$ $\newline$ $y = 9$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -4$ and $y = 9$ in $(x,y)$ . $\newline$ The solution is $(-4, 9)$ .

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