Solve -1.5x+9=10x+10y

$$-1.5x+9 = 10x+10y$$

Solve for x

$$x=\frac{18-20y}{23}$$

Steps for Solving Linear Equation

Subtract 10x from both sides.

$$-1.5x+9-10x=10y$$

Combine -1.5x and -10x to get -11.5x.

$$-11.5x+9=10y$$

Subtract 9 from both sides.

$$-11.5x=10y-9$$

Divide both sides of the equation by -11.5, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-11.5x}{-11.5}=\frac{10y-9}{-11.5}$$

Dividing by -11.5 undoes the multiplication by -11.5.

$$x=\frac{10y-9}{-11.5}$$

Divide 10y-9 by -11.5 by multiplying 10y-9 by the reciprocal of -11.5.

$$x=\frac{18-20y}{23}$$

Solve for y

$$y=-\frac{23x}{20}+0.9$$

Steps for Solving Linear Equation

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

$$10x+10y=-1.5x+9$$

Subtract 10x from both sides.

$$10y=-1.5x+9-10x$$

Combine -1.5x and -10x to get -11.5x.

$$10y=-11.5x+9$$

The equation is in standard form.

$$10y=-\frac{23x}{2}+9$$

Divide both sides by 10.

$$\frac{10y}{10}=\frac{-\frac{23x}{2}+9}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$y=\frac{-\frac{23x}{2}+9}{10}$$

Divide -\frac{23x}{2}+9 by 10.

$$y=-\frac{23x}{20}+\frac{9}{10}$$