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

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-5x - 6y = 5

\newline

y = 5

\newline

(_____, _____)

Substitute $y = 5$ : Substitute $y = 5$ into the equation $–5x − 6y = 5$ and then simplify. $\newline$ Substitute $5$ for $y$ in $–5x − 6y = 5$ . $\newline$ $–5x − 6(5) = 5$
Isolate variable term: Isolate the variable term. $\newline$ $-5x - 30 = 5$ $\newline$ Add $30$ to both sides of the equation to isolate the term with $x$ . $\newline$ $-5x - 30 + 30 = 5 + 30$ $\newline$ $-5x = 35$
Solve for x: Solve for x. $\newline$ $-5x = 35$ $\newline$ Divide both sides by $-5$ to solve for x. $\newline$ $x = \frac{35}{-5}$ $\newline$ $x = -7$
Find ordered pair: We found: $\newline$ $x = -7$ $\newline$ $y = 5$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -7$ and $y = 5$ into $(x, y)$ . $\newline$ The solution is $(-7, 5)$ .

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