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Solve. $\newline$ $-9x - 10y = 10$ $\newline$ $y = -10$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-9x - 10y = 10

\newline

y = -10

\newline

(_____, _____)

Substitute $y = -10$ : Substitute $y = -10$ into the equation $–9x − 10y = 10$ . $\newline$ $–9x − 10(-10) = 10$ $\newline$ $–9x + 100 = 10$
Isolate variable term: Isolate the variable term to solve for $x$ . $\newline$ $-9x + 100 - 100 = 10 - 100$ $\newline$ $-9x = -90$
Divide by $-9$ : Divide both sides by $-9$ to find the value of $x$ . $\frac{-9x}{-9} = \frac{-90}{-9}$ $x = 10$
Write solution as ordered pair: We have found the values of both variables: $\newline$ $x = 10$ $\newline$ $y = -10$ $\newline$ Now we can write the solution as an ordered pair. $\newline$ The solution is $(10, -10)$ .

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