What is the answer to (13)/(x-1)=(15)/(x+2) ?

The answer to (13)/(x-1)=(15)/(x+2) is x= 41/2

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(13)/(x-1)=(15)/(x+2)

\frac{13}{x - 1} = \frac{15}{x + 2}

x = \frac{41}{2}

Decimal Notation

x = 20.5

Solution steps

\frac{13}{x - 1} = \frac{15}{x + 2}

Cross multiply

13 x + 26 = 15 x - 15

Move

26

to the right side

13 x = 15 x - 41

Move

15 x

to the left side

- 2 x = - 41

Divide both sides by

- 2

x = \frac{41}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 2

Combine undefined points with solutions:

x = \frac{41}{2}

\frac{3}{x + 4} = \frac{2}{7}

x^{- 2} = 81

\frac{- 3 x}{( x + 2 ) ^{2}} = 0

\frac{2}{x + 1} = \frac{4}{x}

\frac{g}{h} = e - 10

What is the answer to (13)/(x-1)=(15)/(x+2) ?
The answer to (13)/(x-1)=(15)/(x+2) is x= 41/2
Solve for x: (13)/(x-1)=(15)/(x+2)
The solution is x= 41/2