Solve the system by the method of elimination. $\left\{ \begin{aligned}
5 x - y & = 43 \
- 8 x - y & = - 74
\end{aligned} \right.$
A) $( 3,50 )$
B) $( 9,2 )$
C) $\left( - \frac { 31 } { 13 } , - \frac { 1106 } { 13 } \right)$
D) $\left( - 2 , \frac { 41 } { 5 } \right)$
E)inconsistent

Question

Quizplus · Accepted Answer

By adding the two equations, the y terms are eliminated, resulting in $ -3x = -31 $, which simplifies to $ x = 9 $. Substituting $ x = 9 $ into the first equation gives $ y = 2 $.

Solve the System by the Method of Elimination {5x−y=43−8x−y=−74\left\{ \begin{aligned}5 x - y & = 43 \\- 8 x - y & = - 74\end{aligned} \right.{5x−y−8x−y​=43=−74​

Solve the System by the Method of Elimination $\left\{ \begin{aligned}5 x - y & = 43 \\- 8 x - y & = - 74\end{aligned} \right.$