Solve y-2=1/2(x+1)

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

Solve for x

$$x=2y-5$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2} by x+1.

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

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

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

Subtract \frac{1}{2} from both sides.

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

Subtract \frac{1}{2} from -2 to get -\frac{5}{2}.

$$\frac{1}{2}x=y-\frac{5}{2}$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{y-\frac{5}{2}}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$x=\frac{y-\frac{5}{2}}{\frac{1}{2}}$$

Divide y-\frac{5}{2} by \frac{1}{2} by multiplying y-\frac{5}{2} by the reciprocal of \frac{1}{2}.

$$x=2y-5$$

Solve for y

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

Solution Steps

Use the distributive property to multiply \frac{1}{2} by x+1.

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

Add 2 to both sides.

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

Add \frac{1}{2} and 2 to get \frac{5}{2}.

$$y=\frac{1}{2}x+\frac{5}{2}$$