Solve 0.35x+0.85y=0.

$$0.35x+0.85y=0.$$

Solve for x

$$x=-\frac{17y}{7}$$

Steps for Solving Linear Equation

Subtract 0.85y from both sides. Anything subtracted from zero gives its negation.

$$0.35x=-0.85y$$

The equation is in standard form.

$$0.35x=-\frac{17y}{20}$$

Divide both sides of the equation by 0.35, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.35x}{0.35}=-\frac{\frac{17y}{20}}{0.35}$$

Dividing by 0.35 undoes the multiplication by 0.35.

$$x=-\frac{\frac{17y}{20}}{0.35}$$

Divide -\frac{17y}{20} by 0.35 by multiplying -\frac{17y}{20} by the reciprocal of 0.35.

$$x=-\frac{17y}{7}$$

Solve for y

$$y=-\frac{7x}{17}$$

Steps for Solving Linear Equation

Subtract 0.35x from both sides. Anything subtracted from zero gives its negation.

$$0.85y=-0.35x$$

The equation is in standard form.

$$0.85y=-\frac{7x}{20}$$

Divide both sides of the equation by 0.85, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.85y}{0.85}=-\frac{\frac{7x}{20}}{0.85}$$

Dividing by 0.85 undoes the multiplication by 0.85.

$$y=-\frac{\frac{7x}{20}}{0.85}$$

Divide -\frac{7x}{20} by 0.85 by multiplying -\frac{7x}{20} by the reciprocal of 0.85.

$$y=-\frac{7x}{17}$$