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

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

Solve for x

$$x=\frac{5y}{6}-\frac{4}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{6}{5} by x-2.

$$y=\frac{6}{5}x-\frac{12}{5}+4$$

Add -\frac{12}{5} and 4 to get \frac{8}{5}.

$$y=\frac{6}{5}x+\frac{8}{5}$$

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

$$\frac{6}{5}x+\frac{8}{5}=y$$

Subtract \frac{8}{5} from both sides.

$$\frac{6}{5}x=y-\frac{8}{5}$$

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

$$\frac{\frac{6}{5}x}{\frac{6}{5}}=\frac{y-\frac{8}{5}}{\frac{6}{5}}$$

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

$$x=\frac{y-\frac{8}{5}}{\frac{6}{5}}$$

Divide y-\frac{8}{5} by \frac{6}{5} by multiplying y-\frac{8}{5} by the reciprocal of \frac{6}{5}.

$$x=\frac{5y}{6}-\frac{4}{3}$$

Solve for y

$$y=\frac{6x+8}{5}$$

Solution Steps

Use the distributive property to multiply \frac{6}{5} by x-2.

$$y=\frac{6}{5}x-\frac{12}{5}+4$$

Add -\frac{12}{5} and 4 to get \frac{8}{5}.

$$y=\frac{6}{5}x+\frac{8}{5}$$