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Solve. $\newline$ $-8x + 10y = -10$ $\newline$ $y = 7$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-8x + 10y = -10

\newline

y = 7

\newline

(_____, _____)

Substitute $y = 7$ : Substitute $y = 7$ into the equation $–8x + 10y = –10$ and then simplify. $\newline$ Substitute $7$ for $y$ in $–8x + 10y = –10$ . $\newline$ $–8x + 10(7) = –10$
Simplify with $y = 7$ : Simplify the equation by multiplying $10$ by $7$ . $\,-8x + 70 = -10$
Isolate variable term: Isolate the variable term by subtracting $70$ from both sides of the equation. $\newline$ $-8x + 70 - 70 = -10 - 70$ $\newline$ $-8x = -80$
Solve for x: Solve for x by dividing both sides of the equation by $–8$ . $\frac{–8x}{-8} = \frac{–80}{-8}$ $x = 10$
Final solution: We found: $\newline$ $x = 10$ $\newline$ $y = 7$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 10$ and $y = 7$ into $(x, y)$ . $\newline$ The solution is $(10, 7)$ .

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