What is the answer to (x-6)/(x+1)= 9/5 ?

The answer to (x-6)/(x+1)= 9/5 is x=-39/4

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(x-6)/(x+1)= 9/5

\frac{x - 6}{x + 1} = \frac{9}{5}

x = - \frac{39}{4}

Decimal Notation

x = - 9.75

Solution steps

\frac{x - 6}{x + 1} = \frac{9}{5}

Cross multiply

5 x - 30 = 9 x + 9

Move

30

to the right side

5 x = 9 x + 39

Move

9 x

to the left side

- 4 x = 39

Divide both sides by

- 4

x = - \frac{39}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - \frac{39}{4}

\frac{5}{x} = \frac{10}{3 x} + 4

2 - \frac{5}{3 x - 7} = 2

2 x^{- 2} - 3 x^{- 1} - 2 = 0

x = \frac{1}{x}

\frac{1}{4 - x} + \frac{3}{6 + x} = 0

What is the answer to (x-6)/(x+1)= 9/5 ?
The answer to (x-6)/(x+1)= 9/5 is x=-39/4
Solve for x: (x-6)/(x+1)= 9/5
The solution is x=-39/4