What is the answer to 5/(y+4)=4+3/(y-2) ?

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

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5/(y+4)=4+3/(y-2)

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

y = 1, y = - \frac{5}{2}

Solution steps

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

Multiply by LCM

5 (y - 2) = 4 (y + 4) (y - 2) + 3 (y + 4)

Solve

5 (y - 2) = 4 (y + 4) (y - 2) + 3 (y + 4) : y = 1, y = - \frac{5}{2}

y = 1, y = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

y = - 4, y = 2

Combine undefined points with solutions:

y = 1, y = - \frac{5}{2}

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

n, K = \frac{a}{b ( c + n )}

x - 1 = \frac{- 4 x}{x + 1} + 5

\frac{2 x}{x + 4} = \frac{3}{x - 1}

y, x = \frac{y - 2}{y + 3}

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