What is the answer to 4/(5x+1)= 9/(10x+1) ?

The answer to 4/(5x+1)= 9/(10x+1) is x=-1

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4/(5x+1)= 9/(10x+1)

\frac{4}{5 x + 1} = \frac{9}{10 x + 1}

x = - 1

Solution steps

\frac{4}{5 x + 1} = \frac{9}{10 x + 1}

Cross multiply

40 x + 4 = 45 x + 9

Move

4

to the right side

40 x = 45 x + 5

Move

45 x

to the left side

- 5 x = 5

Divide both sides by

- 5

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{5}, x = - \frac{1}{10}

Combine undefined points with solutions:

x = - 1

\frac{8}{x - 2} = \frac{3}{2 x + 1}

\frac{4}{c - 2} = \frac{c - 4}{2}

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

x^{- 2} - x^{- 1} - 42 = 0

\frac{3 x}{8 + 4} = \frac{x - 2}{x}

What is the answer to 4/(5x+1)= 9/(10x+1) ?
The answer to 4/(5x+1)= 9/(10x+1) is x=-1
Solve for x: 4/(5x+1)= 9/(10x+1)
The solution is x=-1