What is the answer to 3/(5+m)= 7/(4-m) ?

The answer to 3/(5+m)= 7/(4-m) is m=-23/10

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3/(5+m)= 7/(4-m)

\frac{3}{5 + m} = \frac{7}{4 - m}

m = - \frac{23}{10}

Decimal Notation

m = - 2.3

Solution steps

\frac{3}{5 + m} = \frac{7}{4 - m}

Cross multiply

12 - 3 m = 35 + 7 m

Move

12

to the right side

- 3 m = 7 m + 23

Move

7 m

to the left side

- 10 m = 23

Divide both sides by

- 10

m = - \frac{23}{10}

Verify Solutions

Find undefined (singularity) points:

m = - 5, m = 4

Combine undefined points with solutions:

m = - \frac{23}{10}

\frac{x}{x + 1} + 4 = \frac{1}{x ^{2} + x}

c, 2 = \frac{12 b ^{4} a ^{2}}{8 c}

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

7 + \frac{x}{x + 6} = \frac{2}{x + 6}

\frac{s}{s + 2} + s = \frac{5 s + 8}{s + 2}

What is the answer to 3/(5+m)= 7/(4-m) ?
The answer to 3/(5+m)= 7/(4-m) is m=-23/10
Solve for m: 3/(5+m)= 7/(4-m)
The solution is m=-23/10