Solve 3+7iyw=2-3i

$$3 + 7 i y w = 2 - 3 i$$

Solve for w

$$w=\frac{-\frac{3}{7}+\frac{1}{7}i}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Subtract 3 from both sides.

$$7iyw=2-3i-3$$

Subtract 3 from 2-3i to get -1-3i.

$$7iyw=-1-3i$$

Divide both sides by 7iy.

$$\frac{7iyw}{7iy}=\frac{-1-3i}{7iy}$$

Dividing by 7iy undoes the multiplication by 7iy.

$$w=\frac{-1-3i}{7iy}$$

Divide -1-3i by 7iy.

$$w=\frac{-\frac{3}{7}+\frac{1}{7}i}{y}$$

Solve for y

$$y=\frac{-\frac{3}{7}+\frac{1}{7}i}{w}$$

$$w\neq 0$$

Steps for Solving Linear Equation

Subtract 3 from both sides.

$$7iyw=2-3i-3$$

Subtract 3 from 2-3i to get -1-3i.

$$7iyw=-1-3i$$

The equation is in standard form.

$$7iwy=-1-3i$$

Divide both sides by 7iw.

$$\frac{7iwy}{7iw}=\frac{-1-3i}{7iw}$$

Dividing by 7iw undoes the multiplication by 7iw.

$$y=\frac{-1-3i}{7iw}$$

Divide -1-3i by 7iw.

$$y=\frac{-\frac{3}{7}+\frac{1}{7}i}{w}$$