Solve 0.75x+0.5y=500

$$0.75x+0.5y=500$$

Solve for x

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

Steps for Solving Linear Equation

Subtract 0.5y from both sides.

$$0.75x=500-0.5y$$

The equation is in standard form.

$$0.75x=-\frac{y}{2}+500$$

Divide both sides of the equation by 0.75, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.75x}{0.75}=\frac{-\frac{y}{2}+500}{0.75}$$

Dividing by 0.75 undoes the multiplication by 0.75.

$$x=\frac{-\frac{y}{2}+500}{0.75}$$

Divide 500-\frac{y}{2} by 0.75 by multiplying 500-\frac{y}{2} by the reciprocal of 0.75.

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

Solve for y

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

Steps for Solving Linear Equation

Subtract 0.75x from both sides.

$$0.5y=500-0.75x$$

The equation is in standard form.

$$0.5y=-\frac{3x}{4}+500$$

Multiply both sides by 2.

$$\frac{0.5y}{0.5}=\frac{-\frac{3x}{4}+500}{0.5}$$

Dividing by 0.5 undoes the multiplication by 0.5.

$$y=\frac{-\frac{3x}{4}+500}{0.5}$$

Divide 500-\frac{3x}{4} by 0.5 by multiplying 500-\frac{3x}{4} by the reciprocal of 0.5.

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