Answer:
Step-by-step explanation:
x+y=10--- 1
x²-y²=60 --- 2
From equation 2, (x+y)(x-y)=60--- 3
we know that (x+y) = 10
Therefore, equation 3 is,
10(x-y)=60
divide both sides by 10
(x-y) =6
we now have a simultaneous equation.
x+y = 10
x-y= 6
solving simultaneously,
x=8 and y= 2