What is the answer to -16/5 =(-4)/(1-r) ?

The answer to -16/5 =(-4)/(1-r) is r=-1/4

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-16/5 =(-4)/(1-r)

- \frac{16}{5} = \frac{- 4}{1 - r}

r = - \frac{1}{4}

Decimal

r = - 0.25

Solution steps

- \frac{16}{5} = \frac{- 4}{1 - r}

Cross multiply

- 16 (1 - r) = - 20

Divide both sides by

- 16

1 - r = \frac{5}{4}

Move

1

to the right side

- r = \frac{1}{4}

Divide both sides by

- 1

r = - \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

r = 1

Combine undefined points with solutions:

r = - \frac{1}{4}

\frac{6}{x + 8} = - \frac{3}{4}

\frac{55}{x + 6} = x

\frac{11}{x + 3} = 10

\frac{5 x - 3}{x + 4} - \frac{8}{5 x} = 5

- \frac{1}{x ^{2}} + \frac{1}{x} = 0

What is the answer to -16/5 =(-4)/(1-r) ?
The answer to -16/5 =(-4)/(1-r) is r=-1/4
Solve for r: -16/5 =(-4)/(1-r)
The solution is r=-1/4