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Solve. $\newline$ $6x - y = -1$ $\newline$ $x = -1$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

6x - y = -1

\newline

x = -1

\newline

(_____, _____)

Substitute $x = -1$ : Substitute $x = -1$ into the first equation $6x - y = -1$ . $\newline$ $6(-1) - y = -1$ $\newline$ $-6 - y = -1$
Isolate variable $y$ : Isolate the variable $y$ . $-y = -1 + 6$ $-y = 5$
Multiply by $-1$ : Multiply both sides by $-1$ to solve for $y$ . $-y \times -1 = 5 \times -1$ $y = -5$
Write solution as ordered pair: We found: $\newline$ $x = -1$ $\newline$ $y = -5$ $\newline$ Now we can write the solution as an ordered pair. $\newline$ The solution is $(-1, -5)$ .

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