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Solve. $\newline$ $10x - 7y = 8$ $\newline$ $x = -2$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

10x - 7y = 8

\newline

x = -2

\newline

(_____, _____)

Substitute $x = -2$ : Substitute $x = -2$ into the equation $10x - 7y = 8$ . $\newline$ Calculation: $10(-2) - 7y = 8$ $\newline$ $-20 - 7y = 8$
Isolate variable term: Isolate the variable term $7y$ . $\newline$ Calculation: $-20 - 7y + 20 = 8 + 20$ $\newline$ $-7y = 28$
Solve for y: Solve for y. $\newline$ Calculation: $-7y = 28$ $\newline$ y = $\frac{28}{-7}$ $\newline$ y = $-4$
Find ordered pair: We found: $\newline$ $x = -2$ $\newline$ $y = -4$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -2$ and $y = -4$ into $(x, y)$ . $\newline$ The solution is $(-2, -4)$ .

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