Solve using the substitution method. Use a graphing calculator to check your answer.
-$$\begin{array} { l }
x + 4 y = 36 \
y = - 18 + 2 x
\end{array}$$
A) $( 12,6 )$
B) $( - 10,12 )$
C) No solution
D) Infinitely many solutions

Question

Solve using the substitution method. Use a graphing calculator to check your answer.
-$$\begin{array} { l } 
x + 4 y = 36 \
y = - 18 + 2 x
\end{array}$$
A) $( 12,6 )$
B) $( - 10,12 )$
C) No solution
D) Infinitely many solutions

Quizplus · Accepted Answer

Substitute $y = -18 + 2x$ into the first equation: $x + 4(-18 + 2x) = 36$. Simplify to get $9x = 108$, so $x = 12$. Substitute $x = 12$ back into $y = -18 + 2x$ to find $y = 6$. Thus, the solution is $(12, 6)$.

Solve Using the Substitution Method x+4y=36y=−18+2x\begin{array} { l } x + 4 y = 36 \\y = - 18 + 2 x\end{array}x+4y=36y=−18+2x​

Solve Using the Substitution Method $\begin{array} { l } x + 4 y = 36 \\y = - 18 + 2 x\end{array}$