Solve y+28%x=45%x

$$y+28 \% x=45 \% x$$

Solve for x

$$x=\frac{100y}{17}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{28}{100} to lowest terms by extracting and canceling out 4.

$$y+\frac{7}{25}x=\frac{45}{100}x$$

Reduce the fraction \frac{45}{100} to lowest terms by extracting and canceling out 5.

$$y+\frac{7}{25}x=\frac{9}{20}x$$

Subtract \frac{9}{20}x from both sides.

$$y+\frac{7}{25}x-\frac{9}{20}x=0$$

Combine \frac{7}{25}x and -\frac{9}{20}x to get -\frac{17}{100}x.

$$y-\frac{17}{100}x=0$$

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

$$-\frac{17}{100}x=-y$$

Divide both sides of the equation by -\frac{17}{100}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{17}{100}x}{-\frac{17}{100}}=-\frac{y}{-\frac{17}{100}}$$

Dividing by -\frac{17}{100} undoes the multiplication by -\frac{17}{100}.

$$x=-\frac{y}{-\frac{17}{100}}$$

Divide -y by -\frac{17}{100} by multiplying -y by the reciprocal of -\frac{17}{100}.

$$x=\frac{100y}{17}$$

Solve for y

$$y=\frac{17x}{100}$$

Solution Steps

Reduce the fraction \frac{28}{100} to lowest terms by extracting and canceling out 4.

$$y+\frac{7}{25}x=\frac{45}{100}x$$

Reduce the fraction \frac{45}{100} to lowest terms by extracting and canceling out 5.

$$y+\frac{7}{25}x=\frac{9}{20}x$$

Subtract \frac{7}{25}x from both sides.

$$y=\frac{9}{20}x-\frac{7}{25}x$$

Combine \frac{9}{20}x and -\frac{7}{25}x to get \frac{17}{100}x.

$$y=\frac{17}{100}x$$