Solve 5/2=4a-2b-3/2

$$\frac { 5 } { 2 } = 4 a - 2 b - \frac { 3 } { 2 }$$

Solve for a

$$a=\frac{b+2}{2}$$

Steps for Solving Linear Equation

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

$$4a-2b-\frac{3}{2}=\frac{5}{2}$$

Add 2b to both sides.

$$4a-\frac{3}{2}=\frac{5}{2}+2b$$

Add \frac{3}{2} to both sides.

$$4a=\frac{5}{2}+2b+\frac{3}{2}$$

Add \frac{5}{2} and \frac{3}{2} to get 4.

$$4a=4+2b$$

The equation is in standard form.

$$4a=2b+4$$

Divide both sides by 4.

$$\frac{4a}{4}=\frac{2b+4}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$a=\frac{2b+4}{4}$$

Divide 4+2b by 4.

$$a=\frac{b}{2}+1$$

Solve for b

$$b=2\left(a-1\right)$$

Steps for Solving Linear Equation

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

$$4a-2b-\frac{3}{2}=\frac{5}{2}$$

Subtract 4a from both sides.

$$-2b-\frac{3}{2}=\frac{5}{2}-4a$$

Add \frac{3}{2} to both sides.

$$-2b=\frac{5}{2}-4a+\frac{3}{2}$$

Add \frac{5}{2} and \frac{3}{2} to get 4.

$$-2b=4-4a$$

Divide both sides by -2.

$$\frac{-2b}{-2}=\frac{4-4a}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$b=\frac{4-4a}{-2}$$

Divide 4-4a by -2.

$$b=2a-2$$