Solve 0.1x+0.15y=100

$$0.1 x + 0.15 y = 100$$

Solve for x

$$x=-\frac{3y}{2}+1000$$

Steps for Solving Linear Equation

Subtract 0.15y from both sides.

$$0.1x=100-0.15y$$

The equation is in standard form.

$$0.1x=-\frac{3y}{20}+100$$

Multiply both sides by 10.

$$\frac{0.1x}{0.1}=\frac{-\frac{3y}{20}+100}{0.1}$$

Dividing by 0.1 undoes the multiplication by 0.1.

$$x=\frac{-\frac{3y}{20}+100}{0.1}$$

Divide 100-\frac{3y}{20} by 0.1 by multiplying 100-\frac{3y}{20} by the reciprocal of 0.1.

$$x=-\frac{3y}{2}+1000$$

Solve for y

$$y=\frac{2000-2x}{3}$$

Steps for Solving Linear Equation

Subtract 0.1x from both sides.

$$0.15y=100-0.1x$$

The equation is in standard form.

$$0.15y=-\frac{x}{10}+100$$

Divide both sides of the equation by 0.15, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.15y}{0.15}=\frac{-\frac{x}{10}+100}{0.15}$$

Dividing by 0.15 undoes the multiplication by 0.15.

$$y=\frac{-\frac{x}{10}+100}{0.15}$$

Divide 100-\frac{x}{10} by 0.15 by multiplying 100-\frac{x}{10} by the reciprocal of 0.15.

$$y=\frac{2000-2x}{3}$$