CPM Homework Help : PC3 Problem 4-85

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

Step 1:

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

Step 2:

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

Step 3:

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

Step 4:

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