Solve 2/375x+7y=8

$$\frac { 2 } { 375 x } + 7 y = 8$$

Solve for x

$$x=-\frac{2}{375\left(7y-8\right)}$$

$$y\neq \frac{8}{7}$$

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 375x.

$$2+7y\times 375x=3000x$$

Multiply 7 and 375 to get 2625.

$$2+2625yx=3000x$$

Subtract 3000x from both sides.

$$2+2625yx-3000x=0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$2625yx-3000x=-2$$

Combine all terms containing x.

$$\left(2625y-3000\right)x=-2$$

Divide both sides by 2625y-3000.

$$\frac{\left(2625y-3000\right)x}{2625y-3000}=-\frac{2}{2625y-3000}$$

Dividing by 2625y-3000 undoes the multiplication by 2625y-3000.

$$x=-\frac{2}{2625y-3000}$$

Divide -2 by 2625y-3000.

$$x=-\frac{2}{375\left(7y-8\right)}$$

Variable x cannot be equal to 0.

$$x=-\frac{2}{375\left(7y-8\right)}\text{, }x\neq 0$$

Solve for y

$$y=\frac{8}{7}-\frac{2}{2625x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 375x.

$$2+7y\times 375x=3000x$$

Multiply 7 and 375 to get 2625.

$$2+2625yx=3000x$$

Subtract 2 from both sides.

$$2625yx=3000x-2$$

The equation is in standard form.

$$2625xy=3000x-2$$

Divide both sides by 2625x.

$$\frac{2625xy}{2625x}=\frac{3000x-2}{2625x}$$

Dividing by 2625x undoes the multiplication by 2625x.

$$y=\frac{3000x-2}{2625x}$$

Divide 3000x-2 by 2625x.

$$y=\frac{8}{7}-\frac{2}{2625x}$$