Solve x^2/2+5=y/9

$$\frac { x ^ { 2 } } { 2 } + 5 = \frac { y } { 9 }$$

Solve for y

$$y=\frac{9\left(x^{2}+10\right)}{2}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 2,9.

$$9x^{2}+90=2y$$

Swap sides so that all variable terms are on the left hand side.

$$2y=9x^{2}+90$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{9x^{2}+90}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{9x^{2}+90}{2}$$

Divide 9x^{2}+90 by 2.

$$y=\frac{9x^{2}}{2}+45$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{2\left(y-45\right)}}{3}$$

$$x=\frac{\sqrt{2\left(y-45\right)}}{3}$$

Solve for x

$$x=\frac{\sqrt{2\left(y-45\right)}}{3}$$

$$x=-\frac{\sqrt{2\left(y-45\right)}}{3}\text{, }y\geq 45$$