What is the answer to 3/(7x-2)= 9/(3x+1) ?

The answer to 3/(7x-2)= 9/(3x+1) is x= 7/18

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3/(7x-2)= 9/(3x+1)

\frac{3}{7 x - 2} = \frac{9}{3 x + 1}

x = \frac{7}{18}

Decimal Notation

x = 0.38888 \dots

Solution steps

\frac{3}{7 x - 2} = \frac{9}{3 x + 1}

Cross multiply

9 x + 3 = 63 x - 18

Move

3

to the right side

9 x = 63 x - 21

Move

63 x

to the left side

- 54 x = - 21

Divide both sides by

- 54

x = \frac{7}{18}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{7}, x = - \frac{1}{3}

Combine undefined points with solutions:

x = \frac{7}{18}

\frac{3}{x + 2} + \frac{5}{x - 4} = 2

\frac{x}{2 - x} = 6

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

B, 2 = \frac{a}{2 B + q}

\frac{x - 3}{x} = \frac{9}{10}

What is the answer to 3/(7x-2)= 9/(3x+1) ?
The answer to 3/(7x-2)= 9/(3x+1) is x= 7/18
Solve for x: 3/(7x-2)= 9/(3x+1)
The solution is x= 7/18