could someone please assist me with math?

Question

Solve the following equation for the indicated variable:

(7y-8)(2y+7)=0

 

y = _____ and 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,

 

 

(7y-8)(2y+7)=0

y = _____ and y = ______

 

 

Here we use the Zero Product Property which states:  If you have factors which equal zero, the factors can be separated and set to equal zero.

 

(7y-8)(2y+7)=0

 

7y-8=0          2y+7=0

7y=8               2y=-7

y=8/7                y=-7/2

 

 

ANSWER:  y=8/7 and  y=-7/2

 

We're finished!