Solve y-3=-2/3(x-(-1))

$$y - 3 = - \frac { 2 } { 3 } ( x - ( - 1 ) )$$

Solve for x

$$x=\frac{7-3y}{2}$$

Steps for Solving Linear Equation

The opposite of -1 is 1.

$$y-3=-\frac{2}{3}\left(x+1\right)$$

Use the distributive property to multiply -\frac{2}{3} by x+1.

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

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

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

Add \frac{2}{3} to both sides.

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

Add -3 and \frac{2}{3} to get -\frac{7}{3}.

$$-\frac{2}{3}x=y-\frac{7}{3}$$

Divide both sides of the equation by -\frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{2}{3}x}{-\frac{2}{3}}=\frac{y-\frac{7}{3}}{-\frac{2}{3}}$$

Dividing by -\frac{2}{3} undoes the multiplication by -\frac{2}{3}.

$$x=\frac{y-\frac{7}{3}}{-\frac{2}{3}}$$

Divide y-\frac{7}{3} by -\frac{2}{3} by multiplying y-\frac{7}{3} by the reciprocal of -\frac{2}{3}.

$$x=\frac{7-3y}{2}$$

Solve for y

$$y=\frac{7-2x}{3}$$

Solution Steps

The opposite of -1 is 1.

$$y-3=-\frac{2}{3}\left(x+1\right)$$

Use the distributive property to multiply -\frac{2}{3} by x+1.

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

Add 3 to both sides.

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

Add -\frac{2}{3} and 3 to get \frac{7}{3}.

$$y=-\frac{2}{3}x+\frac{7}{3}$$