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Solve. $\newline$ $x = -9$ $\newline$ $-4x + 5y = -14$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

x = -9

\newline

-4x + 5y = -14

\newline

(_____, _____)

Substitute $x = -9$ : Substitute $x = -9$ into the equation $-4x + 5y = -14$ and then simplify. $\newline$ Substitute $-9$ for $x$ in $-4x + 5y = -14$ . $\newline$ $-4(-9) + 5y = -14$ $\newline$ $36 + 5y = -14$
Isolate variable term: Isolate the variable term $5y$ . $36 + 5y - 36 = -14 - 36$ $5y = -50$
Solve for y: Solve for y. $\newline$ $5y = -50$ $\newline$ $y = -50 / 5$ $\newline$ $y = -10$
Find ordered pair: We found: $\newline$ $x = -9$ $\newline$ $y = -10$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -9$ and $y = -10$ in $(x, y)$ . $\newline$ The solution is $(-9, -10)$ .

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