### Home > PC3 > Chapter 4 > Lesson 4.2.2 > Problem4-85

4-85.

​Solve the following system of equations:  \begin{aligned}[t] 2x + 3y^2 = 7 \\ 4x - y = 7 \end{aligned}

Multiply the top equation by $−2$.
$−4x−6y^2=−14$

Add the equation from Step 1 and the bottom equation.
$−6y^2−y=−7$

Set the equation from Step 2 equal to $0$ and solve for $y$.
$6y^2+y−7=0$

Use the values of $y$ to determine the corresponding values of $x$.