Question

Rewrite the rational expression as an equivalent rational expression with the given denominator

Answer 1

Let z be the required expression.

The given is

`(3)/(14x+98)=(z)/(14y(x+7))`

Using the cross product method, we get

`3*14y(x+7)=z(14x+98)`

`42y(x+7)=z(14x+98)`

Dividing both sides by 14x+98, we get

`(42y\mleft(x+7\mright))/(14x+98)=(z\mleft(14x+98\mright))/(14x+98)`

`(42y\mleft(x+7\mright))/(14(x+7))=z`

`(42y)/(14)=z`

`3y=z`

Hence the answer is

`(3)/(14x+98)=(3y)/(14y(x+7))`