Solve 80(y)+120(x)+500(2/3(y))-35000=0

$$80(y)+120(x)+500( \frac{ 2 }{ 3 } (y))-35000=0$$

Solve for x

$$x=-\frac{31y}{9}+\frac{875}{3}$$

Steps for Solving Linear Equation

Multiply 500 and \frac{2}{3} to get \frac{1000}{3}.

$$80y+120x+\frac{1000}{3}y-35000=0$$

Combine 80y and \frac{1000}{3}y to get \frac{1240}{3}y.

$$\frac{1240}{3}y+120x-35000=0$$

Subtract \frac{1240}{3}y from both sides. Anything subtracted from zero gives its negation.

$$120x-35000=-\frac{1240}{3}y$$

Add 35000 to both sides.

$$120x=-\frac{1240}{3}y+35000$$

The equation is in standard form.

$$120x=-\frac{1240y}{3}+35000$$

Divide both sides by 120.

$$\frac{120x}{120}=\frac{-\frac{1240y}{3}+35000}{120}$$

Dividing by 120 undoes the multiplication by 120.

$$x=\frac{-\frac{1240y}{3}+35000}{120}$$

Divide -\frac{1240y}{3}+35000 by 120.

$$x=-\frac{31y}{9}+\frac{875}{3}$$

Solve for y

$$y=\frac{2625-9x}{31}$$

Steps for Solving Linear Equation

Multiply 500 and \frac{2}{3} to get \frac{1000}{3}.

$$80y+120x+\frac{1000}{3}y-35000=0$$

Combine 80y and \frac{1000}{3}y to get \frac{1240}{3}y.

$$\frac{1240}{3}y+120x-35000=0$$

Subtract 120x from both sides. Anything subtracted from zero gives its negation.

$$\frac{1240}{3}y-35000=-120x$$

Add 35000 to both sides.

$$\frac{1240}{3}y=-120x+35000$$

The equation is in standard form.

$$\frac{1240}{3}y=35000-120x$$

Divide both sides of the equation by \frac{1240}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{1240}{3}y}{\frac{1240}{3}}=\frac{35000-120x}{\frac{1240}{3}}$$

Dividing by \frac{1240}{3} undoes the multiplication by \frac{1240}{3}.

$$y=\frac{35000-120x}{\frac{1240}{3}}$$

Divide -120x+35000 by \frac{1240}{3} by multiplying -120x+35000 by the reciprocal of \frac{1240}{3}.

$$y=\frac{2625-9x}{31}$$