Solve 200left(30-xright)+50left(30-yright)=1800

$$200 \left( 30-x \right) +50 \left( 30-y \right) = 1800$$

Solve for x

$$x=-\frac{y}{4}+\frac{57}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 200 by 30-x.

$$6000-200x+50\left(30-y\right)=1800$$

Use the distributive property to multiply 50 by 30-y.

$$6000-200x+1500-50y=1800$$

Add 6000 and 1500 to get 7500.

$$7500-200x-50y=1800$$

Subtract 7500 from both sides.

$$-200x-50y=1800-7500$$

Subtract 7500 from 1800 to get -5700.

$$-200x-50y=-5700$$

Add 50y to both sides.

$$-200x=-5700+50y$$

The equation is in standard form.

$$-200x=50y-5700$$

Divide both sides by -200.

$$\frac{-200x}{-200}=\frac{50y-5700}{-200}$$

Dividing by -200 undoes the multiplication by -200.

$$x=\frac{50y-5700}{-200}$$

Divide -5700+50y by -200.

$$x=-\frac{y}{4}+\frac{57}{2}$$

Solve for y

$$y=114-4x$$

Steps for Solving Linear Equation

Use the distributive property to multiply 200 by 30-x.

$$6000-200x+50\left(30-y\right)=1800$$

Use the distributive property to multiply 50 by 30-y.

$$6000-200x+1500-50y=1800$$

Add 6000 and 1500 to get 7500.

$$7500-200x-50y=1800$$

Subtract 7500 from both sides.

$$-200x-50y=1800-7500$$

Subtract 7500 from 1800 to get -5700.

$$-200x-50y=-5700$$

Add 200x to both sides.

$$-50y=-5700+200x$$

The equation is in standard form.

$$-50y=200x-5700$$

Divide both sides by -50.

$$\frac{-50y}{-50}=\frac{200x-5700}{-50}$$

Dividing by -50 undoes the multiplication by -50.

$$y=\frac{200x-5700}{-50}$$

Divide -5700+200x by -50.

$$y=114-4x$$