Solve y+4=1/2x+1.5

$$y + 4 = \frac { 1 } { 2 } x + 1.5$$

Solve for x

$$x=2y+5$$

Steps for Solving Linear Equation

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

$$\frac{1}{2}x+1.5=y+4$$

Subtract 1.5 from both sides.

$$\frac{1}{2}x=y+4-1.5$$

Subtract 1.5 from 4 to get 2.5.

$$\frac{1}{2}x=y+2.5$$

The equation is in standard form.

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

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

Subtract 4 from both sides.

$$y=\frac{1}{2}x+1.5-4$$

Subtract 4 from 1.5 to get -2.5.

$$y=\frac{1}{2}x-2.5$$