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

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

x = -5

\newline

8x + 9y = 5

\newline

(_____, _____)

Substitute $x = -5$ : Substitute $x = -5$ into the equation $8x + 9y = 5$ and then simplify. $\newline$ Substitute $-5$ for $x$ in $8x + 9y = 5$ . $\newline$ $8(-5) + 9y = 5$ $\newline$ $-40 + 9y = 5$
Isolate variable term: Isolate the variable term $9y$ . $\newline$ $-40 + 9y + 40 = 5 + 40$ $\newline$ $9y = 45$
Solve for y: Solve for y. $\newline$ $9y = 45$ $\newline$ $y = \frac{45}{9}$ $\newline$ $y = 5$
Find ordered pair: We found: $\newline$ $x = -5$ $\newline$ $y = 5$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -5$ and $y = 5$ into $(x, y)$ . $\newline$ The solution is $(-5, 5)$ .

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