Solve y=2936x/100-x

$$y = \frac { 2936 x } { 100 - x }$$

Solve for x

$$x=\frac{100y}{y+2936}$$

$$y\neq -2936$$

Steps for Solving Linear Equation

Variable x cannot be equal to 100 since division by zero is not defined. Multiply both sides of the equation by -x+100.

$$y\left(-x+100\right)=2936x$$

Use the distributive property to multiply y by -x+100.

$$-yx+100y=2936x$$

Subtract 2936x from both sides.

$$-yx+100y-2936x=0$$

Subtract 100y from both sides. Anything subtracted from zero gives its negation.

$$-yx-2936x=-100y$$

Combine all terms containing x.

$$\left(-y-2936\right)x=-100y$$

Divide both sides by -y-2936.

$$\frac{\left(-y-2936\right)x}{-y-2936}=-\frac{100y}{-y-2936}$$

Dividing by -y-2936 undoes the multiplication by -y-2936.

$$x=-\frac{100y}{-y-2936}$$

Divide -100y by -y-2936.

$$x=\frac{100y}{y+2936}$$

Variable x cannot be equal to 100.

$$x=\frac{100y}{y+2936}\text{, }x\neq 100$$

Solve for y

$$y=\frac{2936x}{100-x}$$

$$x\neq 100$$