Solve 2x^2+3y=15

$$2 { x }^{ 2 } +3y=15$$

Solve for y

$$y=-\frac{2x^{2}}{3}+5$$

Steps for Solving Linear Equation

Subtract 2x^{2} from both sides.

$$3y=15-2x^{2}$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{15-2x^{2}}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{15-2x^{2}}{3}$$

Divide 15-2x^{2} by 3.

$$y=-\frac{2x^{2}}{3}+5$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{30-6y}}{2}$$

$$x=\frac{\sqrt{30-6y}}{2}$$

Solve for x

$$x=\frac{\sqrt{30-6y}}{2}$$

$$x=-\frac{\sqrt{30-6y}}{2}\text{, }y\leq 5$$