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Solve. $\newline$ $-4x + 2y = -14$ $\newline$ $x = 5$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-4x + 2y = -14

\newline

x = 5

\newline

(_____, _____)

Substitute $x = 5$ : Substitute $x = 5$ into the equation $–4x + 2y = –14$ . $\newline$ $–4(5) + 2y = –14$ $\newline$ $–20 + 2y = –14$
Isolate variable y: Isolate the variable y by adding $20$ to both sides of the equation. $\newline$ $-20 + 2y + 20 = -14 + 20$ $\newline$ $2y = 6$
Divide by $2$ : Divide both sides of the equation by $2$ to solve for y. $\newline$ $\frac{2y}{2} = \frac{6}{2}$ $\newline$ $y = 3$
Find values of $x$ and $y$ : We have found the values of $x$ and $y$ : $x = 5$ $y = 3$ The solution in the form of an ordered pair is $(5, 3)$ .

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