What is the answer to 1/(x-1)= 3/(2x+3) ?

The answer to 1/(x-1)= 3/(2x+3) is x=6

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1/(x-1)= 3/(2x+3)

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

x = 6

Solution steps

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

Cross multiply

2 x + 3 = 3 x - 3

Move

3

to the right side

2 x = 3 x - 6

Move

3 x

to the left side

- x = - 6

Divide both sides by

- 1

x = 6

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 6

\frac{x - 7}{x - 4} = \frac{2}{x}

x, \frac{x + y}{x - y} = a

x, \frac{x + y}{x - y} = 5

\frac{y + 8}{2 y - 5} = 1

x^{- 2} - 7 x^{- 1} + 10 = 0

What is the answer to 1/(x-1)= 3/(2x+3) ?
The answer to 1/(x-1)= 3/(2x+3) is x=6
Solve for x: 1/(x-1)= 3/(2x+3)
The solution is x=6