If x2 - y2 = -12 and x + y = 6, find x and y.
If x2 - y2 = -12 and x + y = 6, find x and y.
Answer/Solution
x = 2 , y = 4
Steps/Work
x2 - y2 = (x - y)(x + y) = -12 : given
6(x - y) = -12 : substitute x + y by 6
(x - y) = -2 : solve for x - y
(x - y) = -2 and x + y = 6 : 2 by 2 system.
x = 2 , y = 4 : solve above system.
correct answer A
6(x - y) = -12 : substitute x + y by 6
(x - y) = -2 : solve for x - y
(x - y) = -2 and x + y = 6 : 2 by 2 system.
x = 2 , y = 4 : solve above system.
correct answer A