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Solve. $\newline$ $-4x + 6y = -8$ $\newline$ $y = -6$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-4x + 6y = -8

\newline

y = -6

\newline

(_____, _____)

Substitute $y = -6$ : Substitute $y = -6$ into the equation $–4x + 6y = –8$ and then simplify. $\newline$ Substitute $-6$ for $y$ in $–4x + 6y = –8$ . $\newline$ $–4x + 6(-6) = –8$ $\newline$ $–4x - 36 = –8$
Isolate variable term: Isolate the variable term to solve for $x$ . $\newline$ $-4x - 36 = -8$ $\newline$ Add $36$ to both sides of the equation. $\newline$ $-4x - 36 + 36 = -8 + 36$ $\newline$ $-4x = 28$
Divide by $-4$ : Divide both sides by $-4$ to find the value of $x$ . $\frac{-4x}{-4} = \frac{28}{-4}$ $x = -7$
Find ordered pair: We found: $\newline$ $x = -7$ $\newline$ $y = -6$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -7$ and $y = -6$ into $(x, y)$ . $\newline$ The solution is $(-7, -6)$ .

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