Solve using the elimination method.
-$$\begin{array} { c }
x + 6 y = 26 \
2 x + 6 y = 22
\end{array}$$
A) $( 4,4 )$
B) No solution
C) $( - 4,5 )$
D) $( - 3 , - 4 )$

Question

Solve using the elimination method.
-$$\begin{array} { c } 
x + 6 y = 26 \
2 x + 6 y = 22
\end{array}$$
A) $( 4,4 )$
B) No solution
C) $( - 4,5 )$
D) $( - 3 , - 4 )$

Quizplus · Accepted Answer

Subtracting the first equation from the second gives $2x - x = 22 - 26$, simplifying to $x = -4$. Substituting $x = -4$ into the first equation gives $-4 + 6y = 26$, which simplifies to $6y = 30$, so $y = 5$. Therefore, the solution is $(-4, 5)$.

Solve Using the Elimination Method x+6y=262x+6y=22\begin{array} { c } x + 6 y = 26 \\2 x + 6 y = 22\end{array}x+6y=262x+6y=22​

Solve Using the Elimination Method $\begin{array} { c } x + 6 y = 26 \\2 x + 6 y = 22\end{array}$