Solve 2x^2+8y=121.5

$$2 x ^ { 2 } + 8 y = 121.5$$

Solve for y

$$y=-\frac{x^{2}}{4}+15.1875$$

Steps for Solving Linear Equation

Subtract 2x^{2} from both sides.

$$8y=121.5-2x^{2}$$

Divide both sides by 8.

$$\frac{8y}{8}=\frac{121.5-2x^{2}}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$y=\frac{121.5-2x^{2}}{8}$$

Divide 121.5-2x^{2} by 8.

$$y=-\frac{x^{2}}{4}+\frac{243}{16}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{243-16y}}{2}$$

$$x=\frac{\sqrt{243-16y}}{2}$$

Solve for x

$$x=\frac{\sqrt{243-16y}}{2}$$

$$x=-\frac{\sqrt{243-16y}}{2}\text{, }y\leq \frac{243}{16}$$