Solve 20%x+30%y=25%

$$20 \% x+30 \% y=25 \%$$

Solve for x

$$x=-\frac{3y}{2}+\frac{5}{4}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\frac{1}{5}x+\frac{30}{100}y=\frac{25}{100}$$

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\frac{1}{5}x+\frac{3}{10}y=\frac{25}{100}$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{5}x+\frac{3}{10}y=\frac{1}{4}$$

Subtract \frac{3}{10}y from both sides.

$$\frac{1}{5}x=\frac{1}{4}-\frac{3}{10}y$$

The equation is in standard form.

$$\frac{1}{5}x=-\frac{3y}{10}+\frac{1}{4}$$

Multiply both sides by 5.

$$\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{-\frac{3y}{10}+\frac{1}{4}}{\frac{1}{5}}$$

Dividing by \frac{1}{5} undoes the multiplication by \frac{1}{5}.

$$x=\frac{-\frac{3y}{10}+\frac{1}{4}}{\frac{1}{5}}$$

Divide \frac{1}{4}-\frac{3y}{10} by \frac{1}{5} by multiplying \frac{1}{4}-\frac{3y}{10} by the reciprocal of \frac{1}{5}.

$$x=-\frac{3y}{2}+\frac{5}{4}$$

Solve for y

$$y=-\frac{2x}{3}+\frac{5}{6}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\frac{1}{5}x+\frac{30}{100}y=\frac{25}{100}$$

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\frac{1}{5}x+\frac{3}{10}y=\frac{25}{100}$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{5}x+\frac{3}{10}y=\frac{1}{4}$$

Subtract \frac{1}{5}x from both sides.

$$\frac{3}{10}y=\frac{1}{4}-\frac{1}{5}x$$

The equation is in standard form.

$$\frac{3}{10}y=-\frac{x}{5}+\frac{1}{4}$$

Divide both sides of the equation by \frac{3}{10}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{10}y}{\frac{3}{10}}=\frac{-\frac{x}{5}+\frac{1}{4}}{\frac{3}{10}}$$

Dividing by \frac{3}{10} undoes the multiplication by \frac{3}{10}.

$$y=\frac{-\frac{x}{5}+\frac{1}{4}}{\frac{3}{10}}$$

Divide \frac{1}{4}-\frac{x}{5} by \frac{3}{10} by multiplying \frac{1}{4}-\frac{x}{5} by the reciprocal of \frac{3}{10}.

$$y=-\frac{2x}{3}+\frac{5}{6}$$