could someone please help me?

Question

Solve the following equation for the indicated variable:

y(7y-3)(5y-1)=0

 

y = ____

y = ____

y = ____

 

Hint: This equation is already in factored form, so use the Zero-Factor Property to set each of the factors equal to 0.

 

Answer 1

Hi Michael,

 

The "Hint" is more than a hint; it tells you how to answer this!

 

Remember the Zero-Factor Property (also called the Multiplicative Property of Zero):

               if a*b=0 then either a=0 or b=0 (or both).

 

At least one of the factors must be 0!

 

The factors of

y(7y-3)(5y-1)=0

are

  y

  (7y-3)

  (5y-1)

so set each of them to 0 and find the value of y that makes that happen.

 

For y=0, the value of y=0 makes that happen.

For (7y-3)=0,

     7y=3         [add 3 to both sides]

      y = 3/7          [divide both sides by 7]

For (5y-1)=0,

      5y=1        [add 1 to both sides]

       y = 1/5    [divide both sides by 5]

 

"To solve" means to find the value(s) that make this happen.  So, we can say that

       y(7y-3)(5y-1)=0

when

     y=0

  or

     y=3/7

  or

     y=1/5