Solve 4+x=9-y

$$4 + x = 9 - y$$

Solve for x

$$x=5-y$$

Solution Steps

Subtract 4 from both sides.

$$x=9-y-4$$

Subtract 4 from 9 to get 5.

$$x=5-y$$

Solve for y

$$y=5-x$$

Steps for Solving Linear Equation

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

$$9-y=4+x$$

Subtract 9 from both sides.

$$-y=4+x-9$$

Subtract 9 from 4 to get -5.

$$-y=-5+x$$

The equation is in standard form.

$$-y=x-5$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{x-5}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{x-5}{-1}$$

Divide -5+x by -1.

$$y=5-x$$