What is the answer to (100-x)/(x-91)= 17/1 ?

The answer to (100-x)/(x-91)= 17/1 is x= 183/2

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(100-x)/(x-91)= 17/1

\frac{100 - x}{x - 91} = \frac{17}{1}

x = \frac{183}{2}

Decimal Notation

x = 91.5

Solution steps

\frac{100 - x}{x - 91} = \frac{17}{1}

Cross multiply

100 - x = 17 x - 1547

Move

100

to the right side

- x = 17 x - 1647

Move

17 x

to the left side

- 18 x = - 1647

Divide both sides by

- 18

x = \frac{183}{2}

Verify Solutions

Find undefined (singularity) points:

x = 91

Combine undefined points with solutions:

x = \frac{183}{2}

\frac{1}{x + 2} + \frac{1}{x} = 1

1 + \frac{3}{x + 2} = \frac{3}{x ^{2} + 9 x + 14}

\frac{6}{x ^{2}} - \frac{49}{x} = 17

\frac{8 1 ^{3 x + 2}}{9 ^{- 3 x}} = 243

1 - \frac{9}{x} = - 8 x

What is the answer to (100-x)/(x-91)= 17/1 ?
The answer to (100-x)/(x-91)= 17/1 is x= 183/2
Solve for x: (100-x)/(x-91)= 17/1
The solution is x= 183/2