Answer :
Answer:
x+y=6
Step-by-step explanation:
to understand this
you need to know about:
- algebra
- PEMDAS
tips and formulas:
- x²+y²=(x+y)²-2xy
let's solve:
according to the question:
- (x+y)²-2xy=16
- substitute the value of xy:(x+y)²-2.10=16
- simplify multiplication:(x+y)²-20=16
- add 20 to both sides:(x+y)²-20+20=16+20=>(x+y)²=36
- [tex] \sf squre \: root \: both \: sides : \\ \sqrt{ (x + y {)}^{2}} = \sqrt{36} \\ \therefore x + y = 6[/tex]