Solve 20%*x+5%*y=9%*300

$$20 \% \times x + 5 \% \times y = 9 \% \times 300$$

Solve for x

$$x=-\frac{y}{4}+135$$

Steps for Solving Linear Equation

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

$$\frac{1}{5}x+\frac{5}{100}y=\frac{9}{100}\times 300$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{1}{5}x+\frac{1}{20}y=\frac{9}{100}\times 300$$

Multiply \frac{9}{100} and 300 to get 27.

$$\frac{1}{5}x+\frac{1}{20}y=27$$

Subtract \frac{1}{20}y from both sides.

$$\frac{1}{5}x=27-\frac{1}{20}y$$

The equation is in standard form.

$$\frac{1}{5}x=-\frac{y}{20}+27$$

Multiply both sides by 5.

$$\frac{\frac{1}{5}x}{\frac{1}{5}}=\frac{-\frac{y}{20}+27}{\frac{1}{5}}$$

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

$$x=\frac{-\frac{y}{20}+27}{\frac{1}{5}}$$

Divide 27-\frac{y}{20} by \frac{1}{5} by multiplying 27-\frac{y}{20} by the reciprocal of \frac{1}{5}.

$$x=-\frac{y}{4}+135$$

Solve for y

$$y=540-4x$$

Steps for Solving Linear Equation

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

$$\frac{1}{5}x+\frac{5}{100}y=\frac{9}{100}\times 300$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{1}{5}x+\frac{1}{20}y=\frac{9}{100}\times 300$$

Multiply \frac{9}{100} and 300 to get 27.

$$\frac{1}{5}x+\frac{1}{20}y=27$$

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

$$\frac{1}{20}y=27-\frac{1}{5}x$$

The equation is in standard form.

$$\frac{1}{20}y=-\frac{x}{5}+27$$

Multiply both sides by 20.

$$\frac{\frac{1}{20}y}{\frac{1}{20}}=\frac{-\frac{x}{5}+27}{\frac{1}{20}}$$

Dividing by \frac{1}{20} undoes the multiplication by \frac{1}{20}.

$$y=\frac{-\frac{x}{5}+27}{\frac{1}{20}}$$

Divide 27-\frac{x}{5} by \frac{1}{20} by multiplying 27-\frac{x}{5} by the reciprocal of \frac{1}{20}.

$$y=540-4x$$