Select the ordered pair that is a solution of the system of equations. $$\left\{ \begin{array} { c }
2 x ^ { 2 } + y = - 11 \
- x - y = 12
\end{array} \right.$$
A)(1,13)
B)(13,-1)
C)(-1,-13)
D)(1,-13)
E)(13,1)

Question

Select the ordered pair that is a solution of the system of equations.​ $$\left\{ \begin{array} { c } 
2 x ^ { 2 } + y = - 11 \
- x - y = 12
\end{array} \right.$$ ​
A)(1,13)
B)(13,-1)
C)(-1,-13)
D)(1,-13)
E)(13,1)

Quizplus · Accepted Answer

The system of equations is not provided in the question, but we can determine the equations based on the given image. From the first equation, y=14-2x. Substituting this value of y into the second equation, we get x+y=-12, which simplifies to x+(14-2x)=-12. Solving for x, we get x=1. Substituting this value back into y=14-2x, we get y= -13. Therefore, the ordered pair (1,-13) is the solution to the system of equations, which corresponds to answer choice D.

Select the Ordered Pair That Is a Solution of the System