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? y y2 – 1 y 1 y2 y 2

Answer 1

An equation is formed of two equal expressions. Janes should multiply both sides of the equation by (y²-1).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that is given is an equation with a mixed fraction, therefore, the denominator with the highest power should be multiplied on both sides of the equation. The equation that is given to us

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

As we can see in the equation that there are 2 denominators, which are,

• y²-1
• y+1

In the two of the expressions that are stated above the expression (y²-1) is of a higher power.

Hence, Janes should multiply both sides of the equation by (y²-1).

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