Select the ordered pair that is a solution of the system of equations. $$\left\{ \begin{aligned}
y & = - 6 e ^ { x } \
- 7 x - y & = 6
\end{aligned} \right.$$
A)(0,-6)
B)(0,6)
C) $\left( \frac { 1 } { 6 } , 0 \right)$
D) $\left( - \frac { 1 } { 6 } , 0 \right)$
E)(-6,0)

Question

Select the ordered pair that is a solution of the system of equations.​ $$\left\{ \begin{aligned}
y & = - 6 e ^ { x } \
- 7 x - y & = 6
\end{aligned} \right.$$ ​
A)(0,-6)
B)(0,6)
C) $\left( \frac { 1 } { 6 } , 0 \right)$
D) $\left( - \frac { 1 } { 6 } , 0 \right)$
E)(-6,0)

Quizplus · Accepted Answer

One of the equations is x=0, which means the x-coordinate must be 0. The other equation is y=-6, which means the y-coordinate must be -6. Therefore, the ordered pair (0,-6) is the only solution that satisfies both equations.

Select the Ordered Pair That Is a Solution of the System