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Solve. $\newline$ $y = -3$ $\newline$ $9x + 8y = -6$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

y = -3

\newline

9x + 8y = -6

\newline

(_____, _____)

Substitute $y = -3$ : Substitute $y = -3$ into the equation $9x + 8y = -6$ and then simplify. $\newline$ Substitute $-3$ for $y$ in $9x + 8y = -6$ . $\newline$ $9x + 8(-3) = -6$ $\newline$ $9x - 24 = -6$
Isolate variable term $x$ : Isolate the variable term $x$ . $9x - 24 = -6$ Add $24$ to both sides of the equation. $9x - 24 + 24 = -6 + 24$ $9x = 18$
Solve for x: Solve for x. $\newline$ $9x = 18$ $\newline$ Divide both sides by $9$ . $\newline$ $\frac{9x}{9} = \frac{18}{9}$ $\newline$ x = $2$
Find ordered pair solution: We found: $\newline$ $x = 2$ $\newline$ $y = -3$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 2$ and $y = -3$ into $(x, y)$ . $\newline$ The solution is $(2, -3)$ .

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