Solve y-(-15)=-.3(x-20)

$$y-(-15)=-.3(x-20)$$

Solve for x

$$x=-\frac{10y}{3}-30$$

Steps for Solving Linear Equation

The opposite of -15 is 15.

$$y+15=-0.3\left(x-20\right)$$

Use the distributive property to multiply -0.3 by x-20.

$$y+15=-0.3x+6$$

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

$$-0.3x+6=y+15$$

Subtract 6 from both sides.

$$-0.3x=y+15-6$$

Subtract 6 from 15 to get 9.

$$-0.3x=y+9$$

Divide both sides of the equation by -0.3, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-0.3x}{-0.3}=\frac{y+9}{-0.3}$$

Dividing by -0.3 undoes the multiplication by -0.3.

$$x=\frac{y+9}{-0.3}$$

Divide y+9 by -0.3 by multiplying y+9 by the reciprocal of -0.3.

$$x=-\frac{10y}{3}-30$$

Solve for y

$$y=-\frac{3x}{10}-9$$

Solution Steps

The opposite of -15 is 15.

$$y+15=-0.3\left(x-20\right)$$

Use the distributive property to multiply -0.3 by x-20.

$$y+15=-0.3x+6$$

Subtract 15 from both sides.

$$y=-0.3x+6-15$$

Subtract 15 from 6 to get -9.

$$y=-0.3x-9$$