Solve 2y=10-x

$$2 y = 10 - x$$

Solve for x

$$x=10-2y$$

Steps for Solving Linear Equation

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

$$10-x=2y$$

Subtract 10 from both sides.

$$-x=2y-10$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{2y-10}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{2y-10}{-1}$$

Divide -10+2y by -1.

$$x=10-2y$$

Solve for y

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

Steps for Solving Linear Equation

The equation is in standard form.

$$2y=10-x$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{10-x}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{10-x}{2}$$

Divide 10-x by 2.

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