What is the answer to 4y+100+(100)/y =8y+100 ?

The answer to 4y+100+(100)/y =8y+100 is y=5,y=-5

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4y+100+(100)/y =8y+100

4 y + 100 + \frac{100}{y} = 8 y + 100

y = 5, y = - 5

Solution steps

4 y + 100 + \frac{100}{y} = 8 y + 100

Subtract

100

from both sides

4 y + 100 + \frac{100}{y} - 100 = 8 y + 100 - 100

Simplify

4 y + \frac{100}{y} = 8 y

Multiply both sides by

y

4 y^{2} + 100 = 8 y^{2}

Solve

4 y^{2} + 100 = 8 y^{2} : y = 5, y = - 5

y = 5, y = - 5

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = 5, y = - 5

\frac{3}{5 x ^{2} + 4} = \frac{3}{4 x ^{2} + 5}

- 9 = - \frac{3}{x}

\frac{8}{x - 1} + x = 11

1 - \frac{2}{1 + x ^{2}} = 0

\frac{300}{x} + 8 = x - 200

What is the answer to 4y+100+(100)/y =8y+100 ?
The answer to 4y+100+(100)/y =8y+100 is y=5,y=-5
Solve for y: 4y+100+(100)/y =8y+100
The solution is y=5,y=-5