Solve x^2+8y=9y+49

$$x ^ { 2 } + 8 y = 9 y + 49$$

Solve for y

$$y=x^{2}-49$$

Steps for Solving Linear Equation

Subtract 9y from both sides.

$$x^{2}+8y-9y=49$$

Combine 8y and -9y to get -y.

$$x^{2}-y=49$$

Subtract x^{2} from both sides.

$$-y=49-x^{2}$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{49-x^{2}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{49-x^{2}}{-1}$$

Divide -x^{2}+49 by -1.

$$y=x^{2}-49$$

Solve for x (complex solution)

$$x=-\sqrt{y+49}$$

$$x=\sqrt{y+49}$$

Solve for x

$$x=\sqrt{y+49}$$

$$x=-\sqrt{y+49}\text{, }y\geq -49$$