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Solve. $\newline$ $-5x - 5y = -15$ $\newline$ $x = 7$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-5x - 5y = -15

\newline

x = 7

\newline

(_____, _____)

Substitute $x$ in first equation: Substitute the value of $x$ into the first equation. $\newline$ Given $x = 7$ , substitute $7$ for $x$ in $–5x − 5y = –15$ . $\newline$ $-5(7) - 5y = -15$
Simplify the equation: Simplify the equation. $\newline$ $-35 - 5y = -15$
Isolate the variable term: Isolate the variable term. $\newline$ Add $35$ to both sides of the equation to isolate the $y$ term. $\newline$ $-35 + 35 - 5y = -15 + 35$ $\newline$ $-5y = 20$
Solve for y: Solve for y. $\newline$ Divide both sides by $-5$ to solve for y. $\newline$ $(-5y) / -5 = 20 / -5$ $\newline$ $y = -4$
Combine $x$ and $y$ : We found: $\newline$ $x = 7$ $\newline$ $y = -4$ $\newline$ Combine $x$ and $y$ to form the solution as an ordered pair. $\newline$ The solution is $(7, -4)$ .

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