What is the answer to (11)/(x+1)= 3/(x-1) ?

The answer to (11)/(x+1)= 3/(x-1) is x= 7/4

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(11)/(x+1)= 3/(x-1)

\frac{11}{x + 1} = \frac{3}{x - 1}

x = \frac{7}{4}

Decimal Notation

x = 1.75

Solution steps

\frac{11}{x + 1} = \frac{3}{x - 1}

Cross multiply

11 x - 11 = 3 x + 3

Move

11

to the right side

11 x = 3 x + 14

Move

3 x

to the left side

8 x = 14

Divide both sides by

8

x = \frac{7}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 1

Combine undefined points with solutions:

x = \frac{7}{4}

10 = \frac{100}{10 x - 120}

\frac{32}{24} = \frac{60}{x}

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

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

\frac{1}{x} = x^{2} - 7

What is the answer to (11)/(x+1)= 3/(x-1) ?
The answer to (11)/(x+1)= 3/(x-1) is x= 7/4
Solve for x: (11)/(x+1)= 3/(x-1)
The solution is x= 7/4