Solve y+3=-2/7(x+1)

$$y + 3 = - \frac { 2 } { 7 } ( x + 1 )$$

Solve for x

$$x=\frac{-7y-23}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{2}{7} by x+1.

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

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

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

Add \frac{2}{7} to both sides.

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

Add 3 and \frac{2}{7} to get \frac{23}{7}.

$$-\frac{2}{7}x=y+\frac{23}{7}$$

Divide both sides of the equation by -\frac{2}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{2}{7}x}{-\frac{2}{7}}=\frac{y+\frac{23}{7}}{-\frac{2}{7}}$$

Dividing by -\frac{2}{7} undoes the multiplication by -\frac{2}{7}.

$$x=\frac{y+\frac{23}{7}}{-\frac{2}{7}}$$

Divide y+\frac{23}{7} by -\frac{2}{7} by multiplying y+\frac{23}{7} by the reciprocal of -\frac{2}{7}.

$$x=\frac{-7y-23}{2}$$

Solve for y

$$y=\frac{-2x-23}{7}$$

Solution Steps

Use the distributive property to multiply -\frac{2}{7} by x+1.

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

Subtract 3 from both sides.

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

Subtract 3 from -\frac{2}{7} to get -\frac{23}{7}.

$$y=-\frac{2}{7}x-\frac{23}{7}$$