Solve the system of equations.
-$$\left\{ \begin{array} { l }
\frac { x + 5 } { 2 } = \frac { y + 15 } { 4 } \
\frac { x } { 4 } = \frac { 2 y + 6 } { 8 }
\end{array} \right.$$
A) $( - 1,2 )$
B) $( 2 , - 1 )$
C) $\left\{ ( x , y ) \mid \frac { x + 5 } { 2 } = \frac { y + 15 } { 4 } \right\}$
D) $\varnothing$

Question

Solve the system of equations.
-$$\left\{ \begin{array} { l } 
\frac { x + 5 } { 2 } = \frac { y + 15 } { 4 } \
\frac { x } { 4 } = \frac { 2 y + 6 } { 8 }
\end{array} \right.$$
A) $( - 1,2 )$
B) $( 2 , - 1 )$
C) $\left\{ ( x , y ) \mid \frac { x + 5 } { 2 } = \frac { y + 15 } { 4 } \right\}$
D) $\varnothing$

Quizplus · Accepted Answer

By solving the system of equations, we find that $ x = 2 $ and $ y = -1 $ satisfy both equations.

Solve the System of Equations {x+52=y+154x4=2y+68\left\{ \begin{array} { l } \frac { x + 5 } { 2 } = \frac { y + 15 } { 4 } \\\frac { x } { 4 } = \frac { 2 y + 6 } { 8 }\end{array} \right.{2x+5​=4y+15​4x​=82y+6​​

Solve the System of Equations $\left\{ \begin{array} { l } \frac { x + 5 } { 2 } = \frac { y + 15 } { 4 } \\\frac { x } { 4 } = \frac { 2 y + 6 } { 8 }\end{array} \right.$