What is the answer to (15)/(x-1)=(19)/(x+4) ?

The answer to (15)/(x-1)=(19)/(x+4) is x= 79/4

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(15)/(x-1)=(19)/(x+4)

\frac{15}{x - 1} = \frac{19}{x + 4}

x = \frac{79}{4}

Solution steps

\frac{15}{x - 1} = \frac{19}{x + 4}

Cross multiply

15 x + 60 = 19 x - 19

Move

60

to the right side

15 x = 19 x - 79

Move

19 x

to the left side

- 4 x = - 79

Divide both sides by

- 4

x = \frac{79}{4}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 4

Combine undefined points with solutions:

x = \frac{79}{4}

\frac{3}{2 x - 1} = \frac{- 3}{5}

\frac{x}{x + 9} - 5 = - \frac{5}{x + 9}

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

\frac{1}{x} + \frac{1}{x + 4} = 0

\frac{1}{x} = - 2

What is the answer to (15)/(x-1)=(19)/(x+4) ?
The answer to (15)/(x-1)=(19)/(x+4) is x= 79/4
Solve for x: (15)/(x-1)=(19)/(x+4)
The solution is x= 79/4