Solve y-4/10=-3/4left(x-3/5right)

$$y- \frac{ 4 }{ 10 } = - \frac{ 3 }{ 4 } \left( x- \frac{ 3 }{ 5 } \right)$$

Solve for x

$$x=-\frac{4y}{3}+\frac{17}{15}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$y-\frac{2}{5}=-\frac{3}{4}\left(x-\frac{3}{5}\right)$$

Use the distributive property to multiply -\frac{3}{4} by x-\frac{3}{5}.

$$y-\frac{2}{5}=-\frac{3}{4}x+\frac{9}{20}$$

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

$$-\frac{3}{4}x+\frac{9}{20}=y-\frac{2}{5}$$

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

$$-\frac{3}{4}x=y-\frac{2}{5}-\frac{9}{20}$$

Subtract \frac{9}{20} from -\frac{2}{5} to get -\frac{17}{20}.

$$-\frac{3}{4}x=y-\frac{17}{20}$$

Divide both sides of the equation by -\frac{3}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{3}{4}x}{-\frac{3}{4}}=\frac{y-\frac{17}{20}}{-\frac{3}{4}}$$

Dividing by -\frac{3}{4} undoes the multiplication by -\frac{3}{4}.

$$x=\frac{y-\frac{17}{20}}{-\frac{3}{4}}$$

Divide y-\frac{17}{20} by -\frac{3}{4} by multiplying y-\frac{17}{20} by the reciprocal of -\frac{3}{4}.

$$x=-\frac{4y}{3}+\frac{17}{15}$$

Solve for y

$$y=-\frac{3x}{4}+\frac{17}{20}$$

Solution Steps

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$y-\frac{2}{5}=-\frac{3}{4}\left(x-\frac{3}{5}\right)$$

Use the distributive property to multiply -\frac{3}{4} by x-\frac{3}{5}.

$$y-\frac{2}{5}=-\frac{3}{4}x+\frac{9}{20}$$

Add \frac{2}{5} to both sides.

$$y=-\frac{3}{4}x+\frac{9}{20}+\frac{2}{5}$$

Add \frac{9}{20} and \frac{2}{5} to get \frac{17}{20}.

$$y=-\frac{3}{4}x+\frac{17}{20}$$