Respuesta :
Answer:
x=15, y=11 or x=11, y=15
Step-by-step explanation:
no quick or easy way to solve sys of eqns like this:
(1) x+y=26
and
(2) xy=165
rearranging (1),
y=26-x
substituting into (2),
x(26-x)=165
expanding n rearranging,
26x-x^2=165
x^2-26x+165=0
(x-15)(x-11)=0
x-15=0 or x-11=0
x=15 or x=11
y=26-15 or y=26-11
y=11 or y=15
so x=15, y=11
or x=11, y=15
Answer:
Step-by-step explanation:
The other helper has given the standard solution.
Now IF (and only if) the equations are always in the form of x+y = constant1 and xy = constant2, there is a faster way by factorizing the constant.
Note that 165 = 3*5*11
Then also note that (3*5) + 11 = 26
So you can get the two answers, 11 and 15, very quickly!
