Answer:
2 and 5
Steps:
a. xy = 10
b. x+y = 7
x+y = 7
y = 7 - x
xy = 10
x(7 - x) = 10 (substitution of y)
7x - x² = 10
-x² + 7x - 10 = 0
here we have a quadratic equation that we will solve by using the quadratic formula
a = -1 | b = 7 | c = -10
x = (-7±√((-7)²-4×(-1)×(-10)))/2×(-1)
x = (-7±√(49-40))/-2
x = (-7±√9)/-2
x = (-7±3)/-2
x = -4/-2 , -10/-2
x = 2 , 5
check:
2×5 = 10
2+5 = 7
