Solve y-3=1/2(x+2)

$$y - 3 = \frac { 1 } { 2 } ( x + 2 )$$

Solve for x

$$x=2\left(y-4\right)$$

Steps for Solving Linear Equation

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

$$y-3=\frac{1}{2}x+1$$

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

$$\frac{1}{2}x+1=y-3$$

Subtract 1 from both sides.

$$\frac{1}{2}x=y-3-1$$

Subtract 1 from -3 to get -4.

$$\frac{1}{2}x=y-4$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{y-4}{\frac{1}{2}}$$

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

$$x=\frac{y-4}{\frac{1}{2}}$$

Divide y-4 by \frac{1}{2} by multiplying y-4 by the reciprocal of \frac{1}{2}.

$$x=2y-8$$

Solve for y

$$y=\frac{x+8}{2}$$

Solution Steps

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

$$y-3=\frac{1}{2}x+1$$

Add 3 to both sides.

$$y=\frac{1}{2}x+1+3$$

Add 1 and 3 to get 4.

$$y=\frac{1}{2}x+4$$