Respuesta :

Nayefx

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
  1. substitute the value of xy:(x+y)²-2.10=16
  2. simplify multiplication:(x+y)²-20=16
  3. add 20 to both sides:(x+y)²-20+20=16+20=>(x+y)²=36
  4. [tex] \sf squre \: root \: both \: sides : \\ \sqrt{ (x + y {)}^{2}} = \sqrt{36} \\ \therefore x + y = 6[/tex]