What is the answer to (y^2)/(y+4)=(16)/(y+4) ?

The answer to (y^2)/(y+4)=(16)/(y+4) is y=4

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(y^2)/(y+4)=(16)/(y+4)

\frac{y ^{2}}{y + 4} = \frac{16}{y + 4}

y = 4

Solution steps

\frac{y ^{2}}{y + 4} = \frac{16}{y + 4}

Multiply both sides by

y + 4

y^{2} = 16

Solve

y^{2} = 16 : y = 4, y = - 4

y = 4, y = - 4

Verify Solutions

Find undefined (singularity) points:

y = - 4

Since the equation is undefined for:

- 4

y = 4

\frac{8}{q} + 2 = \frac{q + 4}{q - 1}

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

2 x + \frac{16}{x ^{2}} = 0

0 = 1 - \frac{9}{x ^{2}}

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

What is the answer to (y^2)/(y+4)=(16)/(y+4) ?
The answer to (y^2)/(y+4)=(16)/(y+4) is y=4
Solve for y: (y^2)/(y+4)=(16)/(y+4)
The solution is y=4