What is the answer to y+4/y =5 ?

The answer to y+4/y =5 is y=4,y=1

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y+4/y =5

y + \frac{4}{y} = 5

y = 4, y = 1

Solution steps

y + \frac{4}{y} = 5

Multiply both sides by

y

y^{2} + 4 = 5 y

Solve

y^{2} + 4 = 5 y : y = 4, y = 1

y = 4, y = 1

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = 4, y = 1

3 (x - 1) = \frac{4}{x + 1} - 5

\frac{6}{x + 2} = \frac{3}{4}

\frac{a}{a x - 1} + \frac{b}{b x - 1} = a + b

\frac{t - 9}{t} = \frac{80}{t + 9}

1 - \frac{256}{( x + 4 ) ^{2}} = 0