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Solve. $\newline$ $-3x + 2y = -18$ $\newline$ $x = 10$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-3x + 2y = -18

\newline

x = 10

\newline

(_____, _____)

Substitute $x = 10$ : Substitute $x = 10$ into the first equation $–3x + 2y = –18$ .
$-3(10) + 2y = -18$
$-30 + 2y = -18$
Isolate variable $y$ : Isolate the variable $y$ by adding $30$ to both sides of the equation. $\newline$ $-30 + 2y + 30 = -18 + 30$ $\newline$ $2y = 12$
Divide to solve $y$ : Divide both sides of the equation by $2$ to solve for $y$ . $\frac{2y}{2} = \frac{12}{2}$ $y = 6$
Find values of $x$ and $y$ : We have found the values of $x$ and $y$ : $x = 10$ $y = 6$ The solution in the form of an ordered pair is $(10, 6)$ .

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