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Solve. $\newline$ $-9x - 8y = 11$ $\newline$ $y = 2$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-9x - 8y = 11

\newline

y = 2

\newline

(_____, _____)

Substitute and Simplify: Substitute $y = 2$ into the equation $–9x − 8y = 11$ and then simplify. $\newline$ Substitute $2$ for $y$ in $–9x − 8y = 11$ . $\newline$ $–9x − 8(2) = 11$ $\newline$ $–9x − 16 = 11$
Isolate Variable Term: Isolate the variable term to solve for $x$ . $-9x - 16 = 11$ Add $16$ to both sides of the equation. $-9x - 16 + 16 = 11 + 16$ $-9x = 27$
Divide to Find x: Divide both sides by $–9$ to find the value of $x$ . $–9x = 27$ $x = \frac{27}{(–9)}$ $x = –3$
Find Ordered Pair Solution: We found: $\newline$ $x = -3$ $\newline$ $y = 2$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -3$ and $y = 2$ into $(x, y)$ . $\newline$ The solution is $(-3, 2)$ .

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