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Solve. $\newline$ $x = -4$ $\newline$ $-3x - 5y = 2$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

x = -4

\newline

-3x - 5y = 2

\newline

(_____, _____)

Substitute $x = -4$ : Substitute $x = -4$ into the equation $-3x - 5y = 2$ and then simplify. $\newline$ Substitute $-4$ for $x$ in $-3x - 5y = 2$ . $\newline$ $-3(-4) - 5y = 2$ $\newline$ $12 - 5y = 2$
Isolate variable term $y$ : Isolate the variable term $y$ . $12 - 5y = 2$ Subtract $12$ from both sides of the equation. $12 - 5y - 12 = 2 - 12$ $-5y = -10$
Solve for y: Solve for y. $\newline$ $-5y = -10$ $\newline$ Divide both sides by $-5$ . $\newline$ $\frac{-5y}{-5} = \frac{-10}{-5}$ $\newline$ $y = 2$
Find ordered pair solution: We found: $\newline$ $x = -4$ $\newline$ $y = 2$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -4$ and $y = 2$ into $(x, y)$ . $\newline$ The solution is $(-4, 2)$ .

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