Solve the nonlinear system of equations.
-$$\left\{ \begin{aligned}
y & = x ^ { 2 } - - 4 \
- 8 x - y & = 8
\end{aligned} \right.$$
A) $( 6,40 ) , ( 2,8 )$
B) $( - 6,40 ) , ( - 2,8 )$
C) $( - 6,32 ) , ( - 2,0 )$
D) $( 6,40 ) , ( - 2,8 )$

Question

Quizplus · Accepted Answer

To solve the system, substitute $y$ from the first equation into the second equation: $$-8x - (x^2 - 4) = 8$$. Simplify and solve the quadratic equation to find $x$ values, then use these $x$ values to find corresponding $y$ values. The correct solutions are $(-6, 40)$ and $(-2, 8)$.

Solve the Nonlinear System of Equations {y=x2−−4−8x−y=8\left\{ \begin{aligned}y & = x ^ { 2 } - - 4 \\- 8 x - y & = 8\end{aligned} \right.{y−8x−y​=x2−−4=8​

Solve the Nonlinear System of Equations $\left\{ \begin{aligned}y & = x ^ { 2 } - - 4 \\- 8 x - y & = 8\end{aligned} \right.$