Solve 10y+x-10x-y=(100x+y-10y-x)/1.5

$$10 y + x - 10 x - y = \frac { ( 100 x + y - 10 y - x ) } { 1.5 }$$

Solve for x

$$x=\frac{y}{5}$$

Steps for Solving Linear Equation

Combine x and -10x to get -9x.

$$10y-9x-y=\frac{100x+y-10y-x}{1.5}$$

Combine 10y and -y to get 9y.

$$9y-9x=\frac{100x+y-10y-x}{1.5}$$

Combine y and -10y to get -9y.

$$9y-9x=\frac{100x-9y-x}{1.5}$$

Combine 100x and -x to get 99x.

$$9y-9x=\frac{99x-9y}{1.5}$$

Divide each term of 99x-9y by 1.5 to get \frac{99x}{1.5}+\frac{-9y}{1.5}.

$$9y-9x=\frac{99x}{1.5}+\frac{-9y}{1.5}$$

Divide 99x by 1.5 to get 66x.

$$9y-9x=66x+\frac{-9y}{1.5}$$

Divide -9y by 1.5 to get -6y.

$$9y-9x=66x-6y$$

Subtract 66x from both sides.

$$9y-9x-66x=-6y$$

Combine -9x and -66x to get -75x.

$$9y-75x=-6y$$

Subtract 9y from both sides.

$$-75x=-6y-9y$$

Combine -6y and -9y to get -15y.

$$-75x=-15y$$

Divide both sides by -75.

$$\frac{-75x}{-75}=-\frac{15y}{-75}$$

Dividing by -75 undoes the multiplication by -75.

$$x=-\frac{15y}{-75}$$

Divide -15y by -75.

$$x=\frac{y}{5}$$

Solve for y

$$y=5x$$

Steps for Solving Linear Equation

Combine x and -10x to get -9x.

$$10y-9x-y=\frac{100x+y-10y-x}{1.5}$$

Combine 10y and -y to get 9y.

$$9y-9x=\frac{100x+y-10y-x}{1.5}$$

Combine y and -10y to get -9y.

$$9y-9x=\frac{100x-9y-x}{1.5}$$

Combine 100x and -x to get 99x.

$$9y-9x=\frac{99x-9y}{1.5}$$

Divide each term of 99x-9y by 1.5 to get \frac{99x}{1.5}+\frac{-9y}{1.5}.

$$9y-9x=\frac{99x}{1.5}+\frac{-9y}{1.5}$$

Divide 99x by 1.5 to get 66x.

$$9y-9x=66x+\frac{-9y}{1.5}$$

Divide -9y by 1.5 to get -6y.

$$9y-9x=66x-6y$$

Add 6y to both sides.

$$9y-9x+6y=66x$$

Combine 9y and 6y to get 15y.

$$15y-9x=66x$$

Add 9x to both sides.

$$15y=66x+9x$$

Combine 66x and 9x to get 75x.

$$15y=75x$$

Divide both sides by 15.

$$\frac{15y}{15}=\frac{75x}{15}$$

Dividing by 15 undoes the multiplication by 15.

$$y=\frac{75x}{15}$$

Divide 75x by 15.

$$y=5x$$