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

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

6x + 9y = 9

\newline

x = -6

\newline

(_____, _____)

Substitute $x = -6$ : Substitute $x = -6$ into the equation $6x + 9y = 9$ .
$6(-6) + 9y = 9$
$-36 + 9y = 9$
Isolate variable term: Isolate the variable term $9y$ . $\newline$ $9y = 9 + 36$ $\newline$ $9y = 45$
Solve for y: Solve for y. $\newline$ $9y = 45$ $\newline$ $y = \frac{45}{9}$ $\newline$ $y = 5$
Find ordered pair: We found: $\newline$ $x = -6$ $\newline$ $y = 5$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -6$ and $y = 5$ into $(x, y)$ . $\newline$ The solution is $(-6, 5)$ .

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