Solve y=8700-581700/40000x-49

$$y = 8700 - \frac { 581700 } { 40000 x - 49 }$$

Solve for x

$$x=-\frac{7\left(144000-7y\right)}{40000\left(y-8700\right)}$$

$$y\neq 8700$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{49}{40000} since division by zero is not defined. Multiply both sides of the equation by 40000x-49.

$$y\left(40000x-49\right)=\left(40000x-49\right)\times 8700-581700$$

Use the distributive property to multiply y by 40000x-49.

$$40000yx-49y=\left(40000x-49\right)\times 8700-581700$$

Use the distributive property to multiply 40000x-49 by 8700.

$$40000yx-49y=348000000x-426300-581700$$

Subtract 581700 from -426300 to get -1008000.

$$40000yx-49y=348000000x-1008000$$

Subtract 348000000x from both sides.

$$40000yx-49y-348000000x=-1008000$$

Add 49y to both sides.

$$40000yx-348000000x=-1008000+49y$$

Combine all terms containing x.

$$\left(40000y-348000000\right)x=-1008000+49y$$

The equation is in standard form.

$$\left(40000y-348000000\right)x=49y-1008000$$

Divide both sides by 40000y-348000000.

$$\frac{\left(40000y-348000000\right)x}{40000y-348000000}=\frac{49y-1008000}{40000y-348000000}$$

Dividing by 40000y-348000000 undoes the multiplication by 40000y-348000000.

$$x=\frac{49y-1008000}{40000y-348000000}$$

Divide -1008000+49y by 40000y-348000000.

$$x=\frac{7\left(7y-144000\right)}{40000\left(y-8700\right)}$$

Variable x cannot be equal to \frac{49}{40000}.

$$x=\frac{7\left(7y-144000\right)}{40000\left(y-8700\right)}\text{, }x\neq \frac{49}{40000}$$

Solve for y

$$y=-\frac{48000\left(21-7250x\right)}{40000x-49}$$

$$x\neq \frac{49}{40000}$$