Solve the system by the method of elimination.
$$\left\{ \begin{array} { l }
7 x - 6 y = - 73 \
- 8 x - y = 52
\end{array} \right.$$
A) $( 2 , - 68 )$
B) $( - 7,4 )$
C) $\left( \frac { 239 } { 15 } , \frac { 2812 } { 15 } \right)$
D) $\left( - 8 , - \frac { 121 } { 7 } \right)$
E) inconsistent

Question

Solve the system by the method of elimination.
$$\left\{ \begin{array} { l } 
7 x - 6 y = - 73 \
- 8 x - y = 52
\end{array} \right.$$
A) $( 2 , - 68 )$
B) $( - 7,4 )$
C) $\left( \frac { 239 } { 15 } , \frac { 2812 } { 15 } \right)$
D) $\left( - 8 , - \frac { 121 } { 7 } \right)$
E) inconsistent

Quizplus · Accepted Answer

By multiplying the second equation by 6 and adding it to the first equation, we eliminate $y$ and solve for $x$. Substituting $x = -7$ back into one of the original equations gives $y = 4$.

Solve the System by the Method of Elimination {7x−6y=−73−8x−y=52\left\{ \begin{array} { l } 7 x - 6 y = - 73 \\- 8 x - y = 52\end{array} \right.{7x−6y=−73−8x−y=52​

Solve the System by the Method of Elimination $\left\{ \begin{array} { l } 7 x - 6 y = - 73 \\- 8 x - y = 52\end{array} \right.$