Determine which ordered pair is a solution of the system.
$$\left\{ \begin{array} { l }
3 x - 6 y = - 8 \
9 x + 8 y = 5
\end{array} \right.$$
A) $\left( - \frac { 17 } { 39 } , - \frac { 19 } { 26 } \right)$
B) $\left( - \frac { 47 } { 39 } , - \frac { 19 } { 26 } \right)$
C) $( - 5,7 )$
D) $\left( - \frac { 17 } { 39 } , \frac { 29 } { 26 } \right)$
E) $( - 5,50 )$

Question

Determine which ordered pair is a solution of the system.
$$\left\{ \begin{array} { l } 
3 x - 6 y = - 8 \
9 x + 8 y = 5
\end{array} \right.$$
A) $\left( - \frac { 17 } { 39 } , - \frac { 19 } { 26 } \right)$
B) $\left( - \frac { 47 } { 39 } , - \frac { 19 } { 26 } \right)$
C) $( - 5,7 )$
D) $\left( - \frac { 17 } { 39 } , \frac { 29 } { 26 } \right)$
E) $( - 5,50 )$

Quizplus · Accepted Answer

Substitute $x = - \frac { 17 } { 39 }, y = \frac { 29 } { 26 }$ into the two equations we get:

$3x-6y=-8$ becomes $3(-\frac { 17 }{ 39})-6(\frac { 29 }{ 26})=-8$ which is true.

$9x+8y=5$ becomes $9(-\frac { 17 }{ 39})+8(\frac { 29 }{ 26})=5$ which is also true.

Therefore, $\left( - \frac { 17 } { 39 } , \frac { 29 } { 26 } \right)$ is a solution of the system.

Determine Which Ordered Pair Is a Solution of the System {3x−6y=−89x+8y=5\left\{ \begin{array} { l } 3 x - 6 y = - 8 \\9 x + 8 y = 5\end{array} \right.{3x−6y=−89x+8y=5​

Determine Which Ordered Pair Is a Solution of the System $\left\{ \begin{array} { l } 3 x - 6 y = - 8 \\9 x + 8 y = 5\end{array} \right.$