Solve (((14.12-.25)div8)+.0875)=(((14.12-.25)divx)+y)

$$(((14.12-.25) \div 8)+.0875)=(((14.12-.25) \div x)+y)$$

Solve for x

$$x=-\frac{11096}{800y-1457}$$

$$y\neq \frac{1457}{800}$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 8x, the least common multiple of 8,x.

$$x\left(14.12-0.25\right)+8x\times 0.0875=8\left(14.12-0.25\right)+8xy$$

Subtract 0.25 from 14.12 to get 13.87.

$$x\times 13.87+8x\times 0.0875=8\left(14.12-0.25\right)+8xy$$

Multiply 8 and 0.0875 to get 0.7.

$$x\times 13.87+0.7x=8\left(14.12-0.25\right)+8xy$$

Combine x\times 13.87 and 0.7x to get 14.57x.

$$14.57x=8\left(14.12-0.25\right)+8xy$$

Subtract 0.25 from 14.12 to get 13.87.

$$14.57x=8\times 13.87+8xy$$

Multiply 8 and 13.87 to get 110.96.

$$14.57x=110.96+8xy$$

Subtract 8xy from both sides.

$$14.57x-8xy=110.96$$

Combine all terms containing x.

$$\left(14.57-8y\right)x=110.96$$

Divide both sides by 14.57-8y.

$$\frac{\left(14.57-8y\right)x}{14.57-8y}=\frac{110.96}{14.57-8y}$$

Dividing by 14.57-8y undoes the multiplication by 14.57-8y.

$$x=\frac{110.96}{14.57-8y}$$

Divide 110.96 by 14.57-8y.

$$x=\frac{2774}{25\left(14.57-8y\right)}$$

Variable x cannot be equal to 0.

$$x=\frac{2774}{25\left(14.57-8y\right)}\text{, }x\neq 0$$

Solve for y

$$y=1.82125-\frac{1387}{100x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8x, the least common multiple of 8,x.

$$x\left(14.12-0.25\right)+8x\times 0.0875=8\left(14.12-0.25\right)+8xy$$

Subtract 0.25 from 14.12 to get 13.87.

$$x\times 13.87+8x\times 0.0875=8\left(14.12-0.25\right)+8xy$$

Multiply 8 and 0.0875 to get 0.7.

$$x\times 13.87+0.7x=8\left(14.12-0.25\right)+8xy$$

Combine x\times 13.87 and 0.7x to get 14.57x.

$$14.57x=8\left(14.12-0.25\right)+8xy$$

Subtract 0.25 from 14.12 to get 13.87.

$$14.57x=8\times 13.87+8xy$$

Multiply 8 and 13.87 to get 110.96.

$$14.57x=110.96+8xy$$

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

$$110.96+8xy=14.57x$$

Subtract 110.96 from both sides.

$$8xy=14.57x-110.96$$

The equation is in standard form.

$$8xy=\frac{1457x}{100}-110.96$$

Divide both sides by 8x.

$$\frac{8xy}{8x}=\frac{\frac{1457x}{100}-110.96}{8x}$$

Dividing by 8x undoes the multiplication by 8x.

$$y=\frac{\frac{1457x}{100}-110.96}{8x}$$

Divide \frac{1457x}{100}-110.96 by 8x.

$$y=\frac{1457}{800}-\frac{1387}{100x}$$