Solve y-3=1/2(x-4)

$$y - 3 = \frac { 1 } { 2 } ( x - 4 )$$

Solve for x

$$x=2\left(y-1\right)$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2} by x-4.

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

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

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

Add 2 to both sides.

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

Add -3 and 2 to get -1.

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

Multiply both sides by 2.

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

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

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

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

$$x=2y-2$$

Solve for y

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

Solution Steps

Use the distributive property to multiply \frac{1}{2} by x-4.

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

Add 3 to both sides.

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

Add -2 and 3 to get 1.

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