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Solve. $\newline$ $7x + 8y = -7$ $\newline$ $y = 7$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

7x + 8y = -7

\newline

y = 7

\newline

(_____, _____)

Substitute $y = 7$ : Substitute $y = 7$ into the equation $7x + 8y = -7$ and then simplify. $\newline$ Substitute $7$ for $y$ in $7x + 8y = -7$ . $\newline$ $7x + 8(7) = -7$
Simplify with substitution: Simplify the equation by multiplying $8$ by $7$ . $\newline$ $7x + 56 = -7$
Isolate variable term: Isolate the variable term by subtracting $56$ from both sides of the equation. $\newline$ $7x + 56 - 56 = -7 - 56$ $\newline$ $7x = -63$
Solve for x: Solve for x by dividing both sides of the equation by $7$ . $\newline$ $\frac{7x}{7} = \frac{-63}{7}$ $\newline$ $x = -9$
Final solution: We found: $\newline$ $x = -9$ $\newline$ $y = 7$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = -9$ and $y = 7$ into $(x, y)$ . $\newline$ The solution is $(-9, 7)$ .

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