I seem to be on the wrong track whenever I try to solve a nonlinear system. This is what I have been trying to do:
y + x = 17
x^2 + y^2 = 169
Solving for y in the first equation gives me:
y = 17 -x
Then solving for y in the second equation gives me:
y^2 = (13 - x)(13+x)
so then:
y = 13 - x or y = 13+x
since y = y
17-x = 13 +x
Which gives me:
x = 2
HOWEVER, the book says the solutions are (5, 12) and (12, 5). I can't seem to figure out how!
Help? Many thanks in advance!
y + x = 17
x^2 + y^2 = 169
Solving for y in the first equation gives me:
y = 17 -x
Then solving for y in the second equation gives me:
y^2 = (13 - x)(13+x)
so then:
y = 13 - x or y = 13+x
since y = y
17-x = 13 +x
Which gives me:
x = 2
HOWEVER, the book says the solutions are (5, 12) and (12, 5). I can't seem to figure out how!
Help? Many thanks in advance!