Solve y+15=-42/7(x-27)

$$y + 15 = - \frac { 42 } { 7 } ( x - 27 )$$

Solve for x

$$x=-\frac{y}{6}+\frac{49}{2}$$

Steps for Solving Linear Equation

Divide 42 by 7 to get 6.

$$y+15=-6\left(x-27\right)$$

Use the distributive property to multiply -6 by x-27.

$$y+15=-6x+162$$

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

$$-6x+162=y+15$$

Subtract 162 from both sides.

$$-6x=y+15-162$$

Subtract 162 from 15 to get -147.

$$-6x=y-147$$

Divide both sides by -6.

$$\frac{-6x}{-6}=\frac{y-147}{-6}$$

Dividing by -6 undoes the multiplication by -6.

$$x=\frac{y-147}{-6}$$

Divide y-147 by -6.

$$x=-\frac{y}{6}+\frac{49}{2}$$

Solve for y

$$y=147-6x$$

Solution Steps

Divide 42 by 7 to get 6.

$$y+15=-6\left(x-27\right)$$

Use the distributive property to multiply -6 by x-27.

$$y+15=-6x+162$$

Subtract 15 from both sides.

$$y=-6x+162-15$$

Subtract 15 from 162 to get 147.

$$y=-6x+147$$