Solve x/2-y=x/4-3

$$\frac { x } { 2 } - y = \frac { x } { 4 } - 3$$

Solve for x

$$x=4\left(y-3\right)$$

Solution Steps

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$2x-4y=x-12$$

Subtract x from both sides.

$$2x-4y-x=-12$$

Combine 2x and -x to get x.

$$x-4y=-12$$

Add 4y to both sides.

$$x=-12+4y$$

Solve for y

$$y=\frac{x+12}{4}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$2x-4y=x-12$$

Subtract 2x from both sides.

$$-4y=x-12-2x$$

Combine x and -2x to get -x.

$$-4y=-x-12$$

Divide both sides by -4.

$$\frac{-4y}{-4}=\frac{-x-12}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$y=\frac{-x-12}{-4}$$

Divide -x-12 by -4.

$$y=\frac{x}{4}+3$$