Solve y-(0)=-5/3(x-(2)]

$$y - ( 0 ) = - \frac { 5 } { 3 } ( x - ( 2 ) ]$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{5}{3} by x-2.

$$y-0=-\frac{5}{3}x+\frac{10}{3}$$

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

$$-\frac{5}{3}x+\frac{10}{3}=y-0$$

Subtract \frac{10}{3} from both sides.

$$-\frac{5}{3}x=y-0-\frac{10}{3}$$

Reorder the terms.

$$-\frac{5}{3}x=y-\frac{10}{3}$$

Divide both sides of the equation by -\frac{5}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{5}{3}x}{-\frac{5}{3}}=\frac{y-\frac{10}{3}}{-\frac{5}{3}}$$

Dividing by -\frac{5}{3} undoes the multiplication by -\frac{5}{3}.

$$x=\frac{y-\frac{10}{3}}{-\frac{5}{3}}$$

Divide y-\frac{10}{3} by -\frac{5}{3} by multiplying y-\frac{10}{3} by the reciprocal of -\frac{5}{3}.

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

Solve for y

$$y=\frac{10-5x}{3}$$

Solution Steps

Use the distributive property to multiply -\frac{5}{3} by x-2.

$$y-0=-\frac{5}{3}x+\frac{10}{3}$$

Add 0 to both sides.

$$y=-\frac{5}{3}x+\frac{10}{3}+0$$

Add \frac{10}{3} and 0 to get \frac{10}{3}.

$$y=-\frac{5}{3}x+\frac{10}{3}$$