Solve the following system of equations.
\[
\left\{\begin{array}{l}
y+x=-7 \\
3 x^{2}-14 x-y=-5
\end{array}\right.
\]
If there is more than one solution, enter additional solutions with the "or" button If there is no real solution, use the "No solution" button.
\[
(x, y)=\mathbb{( I D}, \mathbb{D}
\]
\[
\text { 믐 믐 } \sqrt{\square}
\]
Tor
No solution
Answer
The solutions to the system of equations are \(\boxed{(1.33, -8.33)}\) and \(\boxed{(3, -10)}\).
Step 1 ：The system of equations is a combination of a linear equation and a quadratic equation.
Step 2 ：To solve this system, substitute the expression for y from the first equation into the second equation. This will give a quadratic equation in terms of x.
Step 3 ：Solve the quadratic equation using the quadratic formula to find the solutions for x.
Step 4 ：Substitute the solutions for x back into the first equation to find the corresponding values of y.
Step 5 ：The solutions to the system of equations are \(\boxed{(1.33, -8.33)}\) and \(\boxed{(3, -10)}\).
