Solve 4w-3y=-1(3y-4w)

$$4 w - 3 y = - 1 ( 3 y - 4 w )$$

Solve for w (complex solution)

$$w\in \mathrm{C}$$

Solution Steps

To find the opposite of 3y-4w, find the opposite of each term.

$$4w-3y=-3y+4w$$

Subtract 4w from both sides.

$$4w-3y-4w=-3y$$

Combine 4w and -4w to get 0.

$$-3y=-3y$$

Cancel out -3 on both sides.

$$y=y$$

Reorder the terms.

$$\text{true}$$

This is true for any w.

$$w\in \mathrm{C}$$

Solve for y (complex solution)

$$y\in \mathrm{C}$$

Solution Steps

To find the opposite of 3y-4w, find the opposite of each term.

$$4w-3y=-3y+4w$$

Add 3y to both sides.

$$4w-3y+3y=4w$$

Combine -3y and 3y to get 0.

$$4w=4w$$

Cancel out 4 on both sides.

$$w=w$$

Reorder the terms.

$$\text{true}$$

This is true for any y.

$$y\in \mathrm{C}$$

Solve for w

$$w\in \mathrm{R}$$

Solution Steps

To find the opposite of 3y-4w, find the opposite of each term.

$$4w-3y=-3y+4w$$

Subtract 4w from both sides.

$$4w-3y-4w=-3y$$

Combine 4w and -4w to get 0.

$$-3y=-3y$$

Cancel out -3 on both sides.

$$y=y$$

Reorder the terms.

$$\text{true}$$

This is true for any w.

$$w\in \mathrm{R}$$

Solve for y

$$y\in \mathrm{R}$$

Solution Steps

To find the opposite of 3y-4w, find the opposite of each term.

$$4w-3y=-3y+4w$$

Add 3y to both sides.

$$4w-3y+3y=4w$$

Combine -3y and 3y to get 0.

$$4w=4w$$

Cancel out 4 on both sides.

$$w=w$$

Reorder the terms.

$$\text{true}$$

This is true for any y.

$$y\in \mathrm{R}$$