Solve 9.0=x*100/x+100

$$9.0= \frac{ x \times 100 }{ x+100 }$$

Solve for x

$$x = \frac{900}{91} = 9\frac{81}{91} \approx 9.89010989$$

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.

$$9\left(x+100\right)=x\times 100$$

Use the distributive property to multiply 9 by x+100.

$$9x+900=x\times 100$$

Subtract x\times 100 from both sides.

$$9x+900-x\times 100=0$$

Combine 9x and -x\times 100 to get -91x.

$$-91x+900=0$$

Subtract 900 from both sides. Anything subtracted from zero gives its negation.

$$-91x=-900$$

Divide both sides by -91.

$$x=\frac{-900}{-91}$$

Fraction \frac{-900}{-91} can be simplified to \frac{900}{91} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{900}{91}$$