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Solve. $\newline$ $-3x - y = 12$ $\newline$ $y = -9$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-3x - y = 12

\newline

y = -9

\newline

(_____, _____)

Substitute $y = -9$ : Substitute $y = -9$ into the equation $–3x − y = 12$ and then simplify. $\newline$ Substitute $-9$ for $y$ in $–3x − y = 12$ . $\newline$ $–3x + 9 = 12$
Isolate variable term: Isolate the variable term to solve for $x$ . $\,-3x + 9 = 12$ $\,-3x + 9 - 9 = 12 - 9$ $\,-3x = 3$
Divide by $-3$ : Divide both sides by $-3$ to find the value of x. $\newline$ $-3x = 3$ $\newline$ $x = \frac{3}{-3}$ $\newline$ $x = -1$
Find ordered pair: We found: $\newline$ $x = -1$ $\newline$ $y = -9$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -1$ and $y = -9$ into $(x, y)$ . $\newline$ The solution is $(-1, -9)$ .

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