Solve 2%-9%/(-4%)-2%=x/y

$$\frac { 2 \% - 9 \% } { ( - 4 \% ) - 2 \% } = \frac { x } { y }$$

Solve for x

$$x=\frac{7y}{6}$$

$$y\neq 0$$

Solution Steps

Multiply both sides of the equation by y.

$$-\frac{50}{3}y\left(\frac{2}{100}-\frac{9}{100}\right)=x$$

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$-\frac{50}{3}y\left(\frac{1}{50}-\frac{9}{100}\right)=x$$

Subtract \frac{9}{100} from \frac{1}{50} to get -\frac{7}{100}.

$$-\frac{50}{3}y\left(-\frac{7}{100}\right)=x$$

Multiply -\frac{50}{3} and -\frac{7}{100} to get \frac{7}{6}.

$$\frac{7}{6}y=x$$

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

$$x=\frac{7}{6}y$$

Solve for y

$$y=\frac{6x}{7}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$-\frac{50}{3}y\left(\frac{2}{100}-\frac{9}{100}\right)=x$$

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$-\frac{50}{3}y\left(\frac{1}{50}-\frac{9}{100}\right)=x$$

Subtract \frac{9}{100} from \frac{1}{50} to get -\frac{7}{100}.

$$-\frac{50}{3}y\left(-\frac{7}{100}\right)=x$$

Multiply -\frac{50}{3} and -\frac{7}{100} to get \frac{7}{6}.

$$\frac{7}{6}y=x$$

Divide both sides of the equation by \frac{7}{6}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{7}{6}y}{\frac{7}{6}}=\frac{x}{\frac{7}{6}}$$

Dividing by \frac{7}{6} undoes the multiplication by \frac{7}{6}.

$$y=\frac{x}{\frac{7}{6}}$$

Divide x by \frac{7}{6} by multiplying x by the reciprocal of \frac{7}{6}.

$$y=\frac{6x}{7}$$

Variable y cannot be equal to 0.

$$y=\frac{6x}{7}\text{, }y\neq 0$$