Solve 4-77i=m+ni

$$4 - 77 i = m + n i$$

Solve for m

$$m=4-77i-in$$

Solution Steps

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

$$m+ni=4-77i$$

Subtract ni from both sides.

$$m=4-77i-ni$$

Multiply -1 and i to get -i.

$$m=4-77i-in$$

Solve for n

$$n=im+\left(-77-4i\right)$$

Steps for Solving Linear Equation

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

$$m+ni=4-77i$$

Subtract m from both sides.

$$ni=4-77i-m$$

The equation is in standard form.

$$in=4-77i-m$$

Divide both sides by i.

$$\frac{in}{i}=\frac{4-77i-m}{i}$$

Dividing by i undoes the multiplication by i.

$$n=\frac{4-77i-m}{i}$$

Divide 4-77i-m by i.

$$n=im+\left(-77-4i\right)$$