Solve y_{6}+28%x=x

$$y _ { 6 } + 28 \% x = x$$

Solve for x

$$x=\frac{25y_{6}}{18}$$

Steps for Solving Linear Equation

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

$$y_{6}+\frac{7}{25}x=x$$

Subtract x from both sides.

$$y_{6}+\frac{7}{25}x-x=0$$

Combine \frac{7}{25}x and -x to get -\frac{18}{25}x.

$$y_{6}-\frac{18}{25}x=0$$

Subtract y_{6} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{18}{25}x=-y_{6}$$

Divide both sides of the equation by -\frac{18}{25}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{18}{25}x}{-\frac{18}{25}}=-\frac{y_{6}}{-\frac{18}{25}}$$

Dividing by -\frac{18}{25} undoes the multiplication by -\frac{18}{25}.

$$x=-\frac{y_{6}}{-\frac{18}{25}}$$

Divide -y_{6} by -\frac{18}{25} by multiplying -y_{6} by the reciprocal of -\frac{18}{25}.

$$x=\frac{25y_{6}}{18}$$

Solve for y_6

$$y_{6}=\frac{18x}{25}$$

Solution Steps

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

$$y_{6}+\frac{7}{25}x=x$$

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

$$y_{6}=x-\frac{7}{25}x$$

Combine x and -\frac{7}{25}x to get \frac{18}{25}x.

$$y_{6}=\frac{18}{25}x$$