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Solve. $\newline$ $y = 8$ $\newline$ $–10x + 10y = 10$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

y = 8

\newline

–10x + 10y = 10

\newline

(_____, _____)

Substitute $y = 8$ : Substitute $y = 8$ into the equation $–10x + 10y = 10$ . $\newline$ Substitute $8$ for $y$ in $–10x + 10y = 10$ . $\newline$ $–10x + 10(8) = 10$
Simplify the equation: Simplify the equation. $-10x + 80 = 10$
Isolate the variable term: Isolate the variable term. $\newline$ $-10x + 80 - 80 = 10 - 80$ $\newline$ $-10x = -70$
Solve for x: Solve for x. $\newline$ $-10x = -70$ $\newline$ $x = \frac{-70}{-10}$ $\newline$ $x = 7$
Find the ordered pair: We found: $\newline$ $x = 7$ $\newline$ $y = 8$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 7$ and $y = 8$ in $(x,y)$ . $\newline$ The solution is $(7, 8)$ .

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