Solve 10%y+1090x+2010z=10

$$10 \% y + 1090 x + 2010 z = 10$$

Solve for x

$$x=-\frac{y}{10900}-\frac{201z}{109}+\frac{1}{109}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$\frac{1}{10}y+1090x+2010z=10$$

Subtract \frac{1}{10}y from both sides.

$$1090x+2010z=10-\frac{1}{10}y$$

Subtract 2010z from both sides.

$$1090x=10-\frac{1}{10}y-2010z$$

The equation is in standard form.

$$1090x=-\frac{y}{10}-2010z+10$$

Divide both sides by 1090.

$$\frac{1090x}{1090}=\frac{-\frac{y}{10}-2010z+10}{1090}$$

Dividing by 1090 undoes the multiplication by 1090.

$$x=\frac{-\frac{y}{10}-2010z+10}{1090}$$

Divide 10-\frac{y}{10}-2010z by 1090.

$$x=-\frac{y}{10900}-\frac{201z}{109}+\frac{1}{109}$$

Solve for y

$$y=100-20100z-10900x$$

Steps for Solving Linear Equation

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$\frac{1}{10}y+1090x+2010z=10$$

Subtract 1090x from both sides.

$$\frac{1}{10}y+2010z=10-1090x$$

Subtract 2010z from both sides.

$$\frac{1}{10}y=10-1090x-2010z$$

The equation is in standard form.

$$\frac{1}{10}y=10-2010z-1090x$$

Multiply both sides by 10.

$$\frac{\frac{1}{10}y}{\frac{1}{10}}=\frac{10-2010z-1090x}{\frac{1}{10}}$$

Dividing by \frac{1}{10} undoes the multiplication by \frac{1}{10}.

$$y=\frac{10-2010z-1090x}{\frac{1}{10}}$$

Divide 10-1090x-2010z by \frac{1}{10} by multiplying 10-1090x-2010z by the reciprocal of \frac{1}{10}.

$$y=100-20100z-10900x$$