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Solve. $\newline$ $-2x + y = -15$ $\newline$ $y = -7$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-2x + y = -15

\newline

y = -7

\newline

(_____, _____)

Substitute $y = -7$ : Substitute $y = -7$ into the equation $–2x + y = –15$ and then simplify. $\newline$ Substitute $-7$ for $y$ in $–2x + y = –15$ . $\newline$ $–2x - 7 = –15$
Isolate variable term: Isolate the variable term to solve for $x$ . $-2x - 7 = -15$ Add $7$ to both sides of the equation. $-2x - 7 + 7 = -15 + 7$ $-2x = -8$
Divide by $-2$ : Divide both sides by $–2$ to find the value of $x$ . $\frac{–2x}{-2} = \frac{–8}{-2}$ $x = 4$
Write solution as ordered pair: We have found: $\newline$ $x = 4$ $\newline$ $y = -7$ $\newline$ Now, we can write the solution as an ordered pair. $\newline$ The solution is $(4, -7)$ .

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