Solve x+y/2=x-1

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

Solve for x

$$x=y+2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$x+y=2x-2$$

Subtract 2x from both sides.

$$x+y-2x=-2$$

Combine x and -2x to get -x.

$$-x+y=-2$$

Subtract y from both sides.

$$-x=-2-y$$

The equation is in standard form.

$$-x=-y-2$$

Divide both sides by -1.

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

Dividing by -1 undoes the multiplication by -1.

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

Divide -2-y by -1.

$$x=y+2$$

Solve for y

$$y=x-2$$

Solution Steps

Multiply both sides of the equation by 2.

$$x+y=2x-2$$

Subtract x from both sides.

$$y=2x-2-x$$

Combine 2x and -x to get x.

$$y=x-2$$