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

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

y = 10

\newline

-10x - 9y = 10

\newline

(_____, _____)

Substitute and Simplify: Substitute $y = 10$ into the equation $–10x − 9y = 10$ and then simplify. $\newline$ Substitute $10$ for $y$ in $–10x − 9y = 10$ . $\newline$ $–10x − 9(10) = 10$ $\newline$ $–10x − 90 = 10$
Isolate Variable Term: Isolate the variable term to solve for $x$ . $-10x - 90 = 10$ Add $90$ to both sides of the equation. $-10x - 90 + 90 = 10 + 90$ $-10x = 100$
Divide to Find x: Divide both sides by $–10$ to find the value of $x$ . $\frac{–10x}{–10} = \frac{100}{–10}$ $x = –10$
Write Solution as Ordered Pair: We have found: $\newline$ $x = -10$ $\newline$ $y = 10$ $\newline$ Now, we can write the solution as an ordered pair. $\newline$ The solution is $(-10, 10)$ .

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