What is the answer to 4/(1+3y)= 5/(44-y) ?

The answer to 4/(1+3y)= 5/(44-y) is y=9

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4/(1+3y)= 5/(44-y)

\frac{4}{1 + 3 y} = \frac{5}{44 - y}

y = 9

Solution steps

\frac{4}{1 + 3 y} = \frac{5}{44 - y}

Cross multiply

176 - 4 y = 5 + 15 y

Move

176

to the right side

- 4 y = 15 y - 171

Move

15 y

to the left side

- 19 y = - 171

Divide both sides by

- 19

y = 9

Verify Solutions

Find undefined (singularity) points:

y = - \frac{1}{3}, y = 44

Combine undefined points with solutions:

y = 9

8 x^{2} = \frac{1}{2 x}

\frac{5 x + 2}{x + 1} = 4.83

\frac{1}{2} = \frac{2}{a}

\frac{x}{x - 5} + 9 = \frac{5}{x - 5}

\frac{x ^{3} + x ^{2} - 2 x}{x - 3} = 0

What is the answer to 4/(1+3y)= 5/(44-y) ?
The answer to 4/(1+3y)= 5/(44-y) is y=9
Solve for y: 4/(1+3y)= 5/(44-y)
The solution is y=9