Solve y=a+bi

$$y = a + b i$$

Solve for a

$$a=y-ib$$

Solution Steps

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

$$a+bi=y$$

Subtract bi from both sides.

$$a=y-bi$$

Multiply -1 and i to get -i.

$$a=y-ib$$

Solve for b

$$b=ia-iy$$

Steps for Solving Linear Equation

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

$$a+bi=y$$

Subtract a from both sides.

$$bi=y-a$$

The equation is in standard form.

$$ib=y-a$$

Divide both sides by i.

$$\frac{ib}{i}=\frac{y-a}{i}$$

Dividing by i undoes the multiplication by i.

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

Divide y-a by i.

$$b=ia-iy$$