Question

Janet wants to solve the equation y startfraction y squared minus 5 over y squared minus 1 endfraction = startfraction y squared y 2 over y 1 endfraction. what should she multiply both sides of the equation by?

Answer 1

Janet should multiply both sides of the equation by y² - 1

Solving fractions

From the question, we are to determine what Janet should multiply both sides of the equation by

The given equation is

$y +\frac{y^{2}-5 }{y^{2} -1}=\frac{y^{2}+y+2 }{y+1}$

In order to solve this equation,

First, we must clear the fractions

In order to clear the fractions, we will multiply both sides of the equation by y² - 1

That is,

$(y^{2} -1)(y +\frac{y^{2}-5 }{y^{2} -1})=(y^{2} -1)\frac{y^{2}+y+2 }{y+1}$

This becomes

$y(y^{2} -1) +y^{2}-5=(y -1)(y+1)\frac{y^{2}+y+2 }{y+1}$

$y(y^{2} -1) +y^{2}-5=(y -1)y^{2}+y+2$

We have successfully cleared the fractions by multiplying both sides by y² - 1

Hence, Janet should multiply both sides of the equation by y² - 1.

Learn more on Solving fractions here: brainly.com/question/14909061

Here is the complete and correct question:

Janet wants to solve the equation y + StartFraction y squared minus 5 Over y squared minus 1 EndFraction = StartFraction y squared + y + 2 Over y + 1 EndFraction. What should she multiply both sides of the equation by?

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