Answer:
3 and 5
Hope this helps!!!
Explanation:
Begin by creating the two equations that are provided by the information in the question.
x + y = 8
and
x y = 15
Now you can solve logically because of the simplicity of the numbers, by listing the factors of 15 and determine which pair will add up to 8
1 and 15
3 and 5
And Then The Answer is 3 and 5
Or you can solve algebraically by substitution
x + y = 8 can be converted to
y = 8 − x
Now substitute the first equation into the second equation for the y variable.
x ( 8 − x ) = 15
Distribute
8 x −x 2 = 15
Set the equation equal to zero.
8 x − x 2 − 15 = 15 − 15
Rearrange to put the squared term first.
− x 2 + 8 x − 15=0
or the trinomial.
-1(x-5)(x-3) = 0#
Set both factors equal to zero.
x − 5 = 0
x = 5
x− 3 = 0
x = 3
5 and 3