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Solve. $\newline$ $-9x + 8y = -13$ $\newline$ $x = 5$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-9x + 8y = -13

\newline

x = 5

\newline

(_____, _____)

Substitute $x = 5$ : Substitute $x = 5$ into the equation $–9x + 8y = –13$ and then simplify. $\newline$ Substitute $5$ for $x$ in $–9x + 8y = –13$ . $\newline$ $-9(5) + 8y = -13$ $\newline$ $-45 + 8y = -13$
Isolate variable term: Isolate the variable term to solve for $y$ . $-45 + 8y + 45 = -13 + 45$ $8y = 32$
Divide sides by $8$ : Divide both sides by $8$ to find the value of $y$ . $\frac{8y}{8} = \frac{32}{8}$ $y = 4$
Find ordered pair: We found: $\newline$ $x = 5$ $\newline$ $y = 4$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 5$ and $y = 4$ into $(x, y)$ . $\newline$ The solution is $(5, 4)$ .

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