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Solve. $\newline$ $y = 8$ $\newline$ $6x - 9y = -12$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

y = 8

\newline

6x - 9y = -12

\newline

(_____, _____)

Substitute $y = 8$ : Substitute $y = 8$ into the equation $6x − 9y = −12$ and then simplify. $\newline$ Substitute $8$ for $y$ in $6x − 9y = −12$ . $\newline$ $6x - 9(8) = -12$
Simplify with substitution: Simplify the equation by multiplying $9$ by $8$ . $6x - 72 = -12$
Isolate variable term: Isolate the variable term by adding $72$ to both sides of the equation. $\newline$ $6x - 72 + 72 = -12 + 72$ $\newline$ $6x = 60$
Solve for x: Solve for x by dividing both sides of the equation by $6$ . $\frac{6x}{6} = \frac{60}{6}$ $x = 10$
Final solution: We found: $\newline$ $x = 10$ $\newline$ $y = 8$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 10$ and $y = 8$ into $(x, y)$ . $\newline$ The solution is $(10, 8)$ .

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