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Solve. $\newline$ $-x - 7y = -11$ $\newline$ $y = 1$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-x - 7y = -11

\newline

y = 1

\newline

(_____, _____)

Substitute $y = 1$ : Substitute $y = 1$ into the equation $–x − 7y = –11$ and then simplify. $\newline$ Substitute $1$ for $y$ in $–x − 7y = –11$ . $\newline$ $–x − 7(1) = –11$ $\newline$ $–x − 7 = –11$
Isolate variable term $x$ : Isolate the variable term $x$ . $\,-x - 7 = -11$ $\,$ Add $7$ to both sides of the equation. $\,-x - 7 + 7 = -11 + 7$ $\,-x = -4$
Solve for x: Solve for x. $\newline$ $-x = -4$ $\newline$ Multiply both sides by $-1$ to get $x$ . $\newline$ $x = 4$
Find ordered pair solution: We found: $\newline$ $x = 4$ $\newline$ $y = 1$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 4$ and $y = 1$ into $(x, y)$ . $\newline$ The solution is $(4, 1)$ .

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