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Solve. $\newline$ $10x - 7y = 6$ $\newline$ $x = -5$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

10x - 7y = 6

\newline

x = -5

\newline

(_____, _____)

Substitute $x = -5$ : Substitute $x = -5$ into the first equation $10x - 7y = 6$ . $\newline$ Calculation: $10(-5) - 7y = 6$ $\newline$ $-50 - 7y = 6$
Isolate variable term: Isolate the variable term $7y$ .
Calculation: $-50 - 7y + 50 = 6 + 50$
$-7y = 56$
Solve for y: Solve for y. $\newline$ Calculation: $-7y / -7 = 56 / -7$ $\newline$ y = $-8$
Find ordered pair: We found: $\newline$ $x = -5$ $\newline$ $y = -8$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -5$ and $y = -8$ into $(x, y)$ . $\newline$ The solution is $(-5, -8)$ .

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