Solve x=1/(1+0.05)+100/(1+0.05)

$$x = \frac { 1 } { ( 1 + 0.05 ) } + \frac { 100 } { ( 1 + 0.05 ) }$$

Solve for x

$$x = \frac{2020}{21} = 96\frac{4}{21} \approx 96.19047619$$

Steps for Solving Linear Equation

Add 1 and 0.05 to get 1.05.

$$x=\frac{1}{1.05}+\frac{100}{1+0.05}$$

Expand \frac{1}{1.05} by multiplying both numerator and the denominator by 100.

$$x=\frac{100}{105}+\frac{100}{1+0.05}$$

Reduce the fraction \frac{100}{105} to lowest terms by extracting and canceling out 5.

$$x=\frac{20}{21}+\frac{100}{1+0.05}$$

Add 1 and 0.05 to get 1.05.

$$x=\frac{20}{21}+\frac{100}{1.05}$$

Expand \frac{100}{1.05} by multiplying both numerator and the denominator by 100.

$$x=\frac{20}{21}+\frac{10000}{105}$$

Reduce the fraction \frac{10000}{105} to lowest terms by extracting and canceling out 5.

$$x=\frac{20}{21}+\frac{2000}{21}$$

Since \frac{20}{21} and \frac{2000}{21} have the same denominator, add them by adding their numerators.

$$x=\frac{20+2000}{21}$$

Add 20 and 2000 to get 2020.

$$x=\frac{2020}{21}$$

Assign x

$$x≔\frac{2020}{21}$$