Solve y-(-1)=-3/7[x-(-8)]

$$y - ( - 1 ) = - \frac { 3 } { 7 } [ x - ( - 8 ) ]$$

Solve for x

$$x=\frac{-7y-31}{3}$$

Steps for Solving Linear Equation

The opposite of -1 is 1.

$$y+1=-\frac{3}{7}\left(x-\left(-8\right)\right)$$

The opposite of -8 is 8.

$$y+1=-\frac{3}{7}\left(x+8\right)$$

Use the distributive property to multiply -\frac{3}{7} by x+8.

$$y+1=-\frac{3}{7}x-\frac{24}{7}$$

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

$$-\frac{3}{7}x-\frac{24}{7}=y+1$$

Add \frac{24}{7} to both sides.

$$-\frac{3}{7}x=y+1+\frac{24}{7}$$

Add 1 and \frac{24}{7} to get \frac{31}{7}.

$$-\frac{3}{7}x=y+\frac{31}{7}$$

Divide both sides of the equation by -\frac{3}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{3}{7}x}{-\frac{3}{7}}=\frac{y+\frac{31}{7}}{-\frac{3}{7}}$$

Dividing by -\frac{3}{7} undoes the multiplication by -\frac{3}{7}.

$$x=\frac{y+\frac{31}{7}}{-\frac{3}{7}}$$

Divide y+\frac{31}{7} by -\frac{3}{7} by multiplying y+\frac{31}{7} by the reciprocal of -\frac{3}{7}.

$$x=\frac{-7y-31}{3}$$

Solve for y

$$y=\frac{-3x-31}{7}$$

Solution Steps

The opposite of -1 is 1.

$$y+1=-\frac{3}{7}\left(x-\left(-8\right)\right)$$

The opposite of -8 is 8.

$$y+1=-\frac{3}{7}\left(x+8\right)$$

Use the distributive property to multiply -\frac{3}{7} by x+8.

$$y+1=-\frac{3}{7}x-\frac{24}{7}$$

Subtract 1 from both sides.

$$y=-\frac{3}{7}x-\frac{24}{7}-1$$

Subtract 1 from -\frac{24}{7} to get -\frac{31}{7}.

$$y=-\frac{3}{7}x-\frac{31}{7}$$