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Solve. $\newline$ $x = 4$ $\newline$ $–9x − 4y = –8$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

x = 4

\newline

–9x − 4y = –8

\newline

(_____, _____)

Substitute $x = 4$ : Substitute $x = 4$ into the equation $–9x − 4y = –8$ and then simplify. $\newline$ Substitute $4$ for $x$ in $–9x − 4y = –8$ . $\newline$ $–9(4) − 4y = –8$ $\newline$ $–36 − 4y = –8$
Isolate variable term $y$ : Isolate the variable term $y$ . $-36 - 4y = -8$ Add $36$ to both sides of the equation. $-36 + 36 - 4y = -8 + 36$ $-4y = 28$
Solve for y: Solve for y. $\newline$ $-4y = 28$ $\newline$ Divide both sides by $-4$ . $\newline$ $y = \frac{28}{(-4)}$ $\newline$ $y = -7$
Find ordered pair solution: We found: $\newline$ $x = 4$ $\newline$ $y = -7$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 4$ and $y = -7$ into $(x, y)$ . $\newline$ The solution is $(4, -7)$ .

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