Solve 0.8x+0.9y=180

$$0.8 x + 0.9 y = 180$$

Solve for x

$$x=-\frac{9y}{8}+225$$

Steps for Solving Linear Equation

Subtract 0.9y from both sides.

$$0.8x=180-0.9y$$

The equation is in standard form.

$$0.8x=-\frac{9y}{10}+180$$

Divide both sides of the equation by 0.8, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.8x}{0.8}=\frac{-\frac{9y}{10}+180}{0.8}$$

Dividing by 0.8 undoes the multiplication by 0.8.

$$x=\frac{-\frac{9y}{10}+180}{0.8}$$

Divide 180-\frac{9y}{10} by 0.8 by multiplying 180-\frac{9y}{10} by the reciprocal of 0.8.

$$x=-\frac{9y}{8}+225$$

Solve for y

$$y=-\frac{8x}{9}+200$$

Steps for Solving Linear Equation

Subtract 0.8x from both sides.

$$0.9y=180-0.8x$$

The equation is in standard form.

$$0.9y=-\frac{4x}{5}+180$$

Divide both sides of the equation by 0.9, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.9y}{0.9}=\frac{-\frac{4x}{5}+180}{0.9}$$

Dividing by 0.9 undoes the multiplication by 0.9.

$$y=\frac{-\frac{4x}{5}+180}{0.9}$$

Divide 180-\frac{4x}{5} by 0.9 by multiplying 180-\frac{4x}{5} by the reciprocal of 0.9.

$$y=-\frac{8x}{9}+200$$