Solve (12^4-7^4)=x*y*193

$$( { 12 }^{ 4 } - { 7 }^{ 4 } )=x \times y \times 193$$

Solve for x

$$x=\frac{95}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Calculate 12 to the power of 4 and get 20736.

$$20736-7^{4}=xy\times 193$$

Calculate 7 to the power of 4 and get 2401.

$$20736-2401=xy\times 193$$

Subtract 2401 from 20736 to get 18335.

$$18335=xy\times 193$$

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

$$xy\times 193=18335$$

The equation is in standard form.

$$193yx=18335$$

Divide both sides by 193y.

$$\frac{193yx}{193y}=\frac{18335}{193y}$$

Dividing by 193y undoes the multiplication by 193y.

$$x=\frac{18335}{193y}$$

Divide 18335 by 193y.

$$x=\frac{95}{y}$$

Solve for y

$$y=\frac{95}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Calculate 12 to the power of 4 and get 20736.

$$20736-7^{4}=xy\times 193$$

Calculate 7 to the power of 4 and get 2401.

$$20736-2401=xy\times 193$$

Subtract 2401 from 20736 to get 18335.

$$18335=xy\times 193$$

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

$$xy\times 193=18335$$

The equation is in standard form.

$$193xy=18335$$

Divide both sides by 193x.

$$\frac{193xy}{193x}=\frac{18335}{193x}$$

Dividing by 193x undoes the multiplication by 193x.

$$y=\frac{18335}{193x}$$

Divide 18335 by 193x.

$$y=\frac{95}{x}$$