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Solve. $\newline$ $-8x - y = 6$ $\newline$ $x = -2$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-8x - y = 6

\newline

x = -2

\newline

(_____, _____)

Substitute $x = -2$ : Substitute $x = -2$ into the first equation $–8x − y = 6$ . $\newline$ Calculation: $–8(-2) − y = 6$ $\newline$ Simplification: $16 − y = 6$
Isolate variable y: Isolate the variable $y$ . $\newline$ Calculation: $16 - y = 6$ $\newline$ Subtract $16$ from both sides: $16 - y - 16 = 6 - 16$ $\newline$ Simplification: $-y = -10$
Solve for y: Solve for y. $\newline$ Calculation: $-y = -10$ $\newline$ Multiply both sides by $-1$ : $y = 10$
Find ordered pair: We found: $\newline$ $x = -2$ $\newline$ $y = 10$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -2$ and $y = 10$ into $(x, y)$ . $\newline$ The solution is $(-2, 10)$ .

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