What is the answer to (2x+1)/(x+5)=(3x-1)/(x+7) ?

The answer to (2x+1)/(x+5)=(3x-1)/(x+7) is x=-3,x=4

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(2x+1)/(x+5)=(3x-1)/(x+7)

\frac{2 x + 1}{x + 5} = \frac{3 x - 1}{x + 7}

x = - 3, x = 4

Solution steps

\frac{2 x + 1}{x + 5} = \frac{3 x - 1}{x + 7}

Cross multiply

(2 x + 1) (x + 7) = (x + 5) (3 x - 1)

Solve

(2 x + 1) (x + 7) = (x + 5) (3 x - 1) : x = - 3, x = 4

x = - 3, x = 4

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = - 7

Combine undefined points with solutions:

x = - 3, x = 4

\frac{7}{x + 8} = - 1

x - \frac{1}{x + 7} = \frac{7}{x + 7}

\frac{54}{2 f} = 3

y, x = \frac{y + 1}{y}

- 9 - \frac{x}{x + 2} = - \frac{8}{x + 2}

What is the answer to (2x+1)/(x+5)=(3x-1)/(x+7) ?
The answer to (2x+1)/(x+5)=(3x-1)/(x+7) is x=-3,x=4
Solve for x: (2x+1)/(x+5)=(3x-1)/(x+7)
The solution is x=-3,x=4