Solve x:2x+y-11=0

$$x : 2 x + y - 11 = 0$$

Solve for y

$$y=-\frac{x^{2}}{2}+11$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$xx+2y-22=0$$

Multiply x and x to get x^{2}.

$$x^{2}+2y-22=0$$

Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.

$$2y-22=-x^{2}$$

Add 22 to both sides.

$$2y=-x^{2}+22$$

The equation is in standard form.

$$2y=22-x^{2}$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{22-x^{2}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{22-x^{2}}{2}$$

Divide -x^{2}+22 by 2.

$$y=-\frac{x^{2}}{2}+11$$

Solve for x (complex solution)

$$x=-\sqrt{22-2y}$$

$$x=\sqrt{22-2y}$$

Solve for x

$$x=\sqrt{22-2y}$$

$$x=-\sqrt{22-2y}\text{, }y\leq 11$$