Solve x=ai+b

$$x = a i + b$$

Solve for a

$$a=ib-ix$$

Steps for Solving Linear Equation

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

$$ai+b=x$$

Subtract b from both sides.

$$ai=x-b$$

The equation is in standard form.

$$ia=x-b$$

Divide both sides by i.

$$\frac{ia}{i}=\frac{x-b}{i}$$

Dividing by i undoes the multiplication by i.

$$a=\frac{x-b}{i}$$

Divide x-b by i.

$$a=ib-ix$$

Solve for b

$$b=x-ia$$

Solution Steps

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

$$ai+b=x$$

Subtract ai from both sides.

$$b=x-ai$$

Multiply -1 and i to get -i.

$$b=x-ia$$