Solve 2-y=6/5(4-x)

$$2 - y = \frac { 6 } { 5 } ( 4 - x )$$

Solve for x

$$x=\frac{5y}{6}+\frac{7}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{6}{5} by 4-x.

$$2-y=\frac{24}{5}-\frac{6}{5}x$$

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

$$\frac{24}{5}-\frac{6}{5}x=2-y$$

Subtract \frac{24}{5} from both sides.

$$-\frac{6}{5}x=2-y-\frac{24}{5}$$

Subtract \frac{24}{5} from 2 to get -\frac{14}{5}.

$$-\frac{6}{5}x=-\frac{14}{5}-y$$

The equation is in standard form.

$$-\frac{6}{5}x=-y-\frac{14}{5}$$

Divide both sides of the equation by -\frac{6}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{6}{5}x}{-\frac{6}{5}}=\frac{-y-\frac{14}{5}}{-\frac{6}{5}}$$

Dividing by -\frac{6}{5} undoes the multiplication by -\frac{6}{5}.

$$x=\frac{-y-\frac{14}{5}}{-\frac{6}{5}}$$

Divide -\frac{14}{5}-y by -\frac{6}{5} by multiplying -\frac{14}{5}-y by the reciprocal of -\frac{6}{5}.

$$x=\frac{5y}{6}+\frac{7}{3}$$

Solve for y

$$y=\frac{6x-14}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{6}{5} by 4-x.

$$2-y=\frac{24}{5}-\frac{6}{5}x$$

Subtract 2 from both sides.

$$-y=\frac{24}{5}-\frac{6}{5}x-2$$

Subtract 2 from \frac{24}{5} to get \frac{14}{5}.

$$-y=\frac{14}{5}-\frac{6}{5}x$$

The equation is in standard form.

$$-y=\frac{14-6x}{5}$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{14-6x}{-5}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{14-6x}{-5}$$

Divide \frac{14-6x}{5} by -1.

$$y=\frac{6x-14}{5}$$