Solve y=(25000+0.42x)div(x-50)

$$y=(25000+0.42x) \div (x-50)$$

Solve for x

$$x=\frac{2500\left(y+500\right)}{50y-21}$$

$$y\neq \frac{21}{50}$$

Steps for Solving Linear Equation

Variable x cannot be equal to 50 since division by zero is not defined. Multiply both sides of the equation by x-50.

$$y\left(x-50\right)=25000+0.42x$$

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

$$yx-50y=25000+0.42x$$

Subtract 0.42x from both sides.

$$yx-50y-0.42x=25000$$

Add 50y to both sides.

$$yx-0.42x=25000+50y$$

Combine all terms containing x.

$$\left(y-0.42\right)x=25000+50y$$

The equation is in standard form.

$$\left(y-\frac{21}{50}\right)x=50y+25000$$

Divide both sides by y-\frac{21}{50}.

$$\frac{\left(y-\frac{21}{50}\right)x}{y-\frac{21}{50}}=\frac{50y+25000}{y-\frac{21}{50}}$$

Dividing by y-\frac{21}{50} undoes the multiplication by y-\frac{21}{50}.

$$x=\frac{50y+25000}{y-\frac{21}{50}}$$

Divide 25000+50y by y-\frac{21}{50}.

$$x=\frac{2500\left(y+500\right)}{50y-21}$$

Variable x cannot be equal to 50.

$$x=\frac{2500\left(y+500\right)}{50y-21}\text{, }x\neq 50$$

Solve for y

$$y=\frac{21x+1250000}{50\left(x-50\right)}$$

$$x\neq 50$$