Solve the system by the method of elimination.
$$\left\{ \begin{array} { c }
5 x - y = 11 \
- 7 x - y = - 25
\end{array} \right.$$
A) $( 1,18 )$
B) $( 3,4 )$
C) $\left( - \frac { 7 } { 6 } , - \frac { 157 } { 6 } \right)$
D) $\left( - 5 , \frac { 6 } { 5 } \right)$
E) inconsistent

Question

Solve the system by the method of elimination.
$$\left\{ \begin{array} { c } 
5 x - y = 11 \
- 7 x - y = - 25
\end{array} \right.$$
A) $( 1,18 )$
B) $( 3,4 )$
C) $\left( - \frac { 7 } { 6 } , - \frac { 157 } { 6 } \right)$
D) $\left( - 5 , \frac { 6 } { 5 } \right)$
E) inconsistent

Quizplus · Accepted Answer

By adding the two equations, the y terms are eliminated, resulting in $ -2x = -14 $, which simplifies to $ x = 7 $. Substituting $ x = 7 $ into the first equation gives $ y = 24 $. Thus, the correct solution is $(7, 24)$, which matches choice B.

Solve the System by the Method of Elimination {5x−y=11−7x−y=−25\left\{ \begin{array} { c } 5 x - y = 11 \\- 7 x - y = - 25\end{array} \right.{5x−y=11−7x−y=−25​

Solve the System by the Method of Elimination $\left\{ \begin{array} { c } 5 x - y = 11 \\- 7 x - y = - 25\end{array} \right.$