Solve 012x-006y=024.y

$$012 x - 006 y = 024 . y$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

Solution Steps

Multiply 0 and 12 to get 0.

$$0x-0\times 0\times 6y=0\times 24$$

Anything times zero gives zero.

$$0-0\times 0\times 6y=0\times 24$$

Multiply 0 and 0 to get 0.

$$0-0\times 6y=0\times 24$$

Multiply 0 and 6 to get 0.

$$0-0y=0\times 24$$

Anything times zero gives zero.

$$0-0=0\times 24$$

Subtracting 0 from itself leaves 0.

$$0=0\times 24$$

Multiply 0 and 24 to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{C}$$

Solve for y (complex solution)

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

Solution Steps

Multiply 0 and 12 to get 0.

$$0x-0\times 0\times 6y=0\times 24$$

Anything times zero gives zero.

$$0-0\times 0\times 6y=0\times 24$$

Multiply 0 and 0 to get 0.

$$0-0\times 6y=0\times 24$$

Multiply 0 and 6 to get 0.

$$0-0y=0\times 24$$

Anything times zero gives zero.

$$0-0=0\times 24$$

Subtracting 0 from itself leaves 0.

$$0=0\times 24$$

Multiply 0 and 24 to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any y.

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

Solve for x

$$x\in \mathrm{R}$$

Solution Steps

Multiply 0 and 12 to get 0.

$$0x-0\times 0\times 6y=0\times 24$$

Anything times zero gives zero.

$$0-0\times 0\times 6y=0\times 24$$

Multiply 0 and 0 to get 0.

$$0-0\times 6y=0\times 24$$

Multiply 0 and 6 to get 0.

$$0-0y=0\times 24$$

Anything times zero gives zero.

$$0-0=0\times 24$$

Subtracting 0 from itself leaves 0.

$$0=0\times 24$$

Multiply 0 and 24 to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{R}$$

Solve for y

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

Solution Steps

Multiply 0 and 12 to get 0.

$$0x-0\times 0\times 6y=0\times 24$$

Anything times zero gives zero.

$$0-0\times 0\times 6y=0\times 24$$

Multiply 0 and 0 to get 0.

$$0-0\times 6y=0\times 24$$

Multiply 0 and 6 to get 0.

$$0-0y=0\times 24$$

Anything times zero gives zero.

$$0-0=0\times 24$$

Subtracting 0 from itself leaves 0.

$$0=0\times 24$$

Multiply 0 and 24 to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any y.

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