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Solve. $\newline$ $-9x + 6y = -15$ $\newline$ $x = 5$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-9x + 6y = -15

\newline

x = 5

\newline

(_____, _____)

Substitute $x$ in first equation: Substitute the value of $x$ into the first equation. $\newline$ Given $x = 5$ , substitute $5$ for $x$ in the equation $–9x + 6y = –15$ . $\newline$ $–9(5) + 6y = –15$
Simplify the equation: Simplify the equation. $-45 + 6y = -15$
Isolate variable term: Isolate the variable term $6y$ . $6y = -15 + 45$
Solve for y: Solve for y. $\newline$ $6y = 30$ $\newline$ $y = \frac{30}{6}$ $\newline$ $y = 5$
Write solution as ordered pair: Write the solution as an ordered pair. $\newline$ We found $x = 5$ and $y = 5$ . $\newline$ The solution is $(5, 5)$ .

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