SOLUTION: find the coordinates of the points of intersection for the graphs of x^2 + 2y^2 = 33 and x^2 + y^2 = 2x + 19 a)(5,2),(-1,4) b)(5,4),(-1,2) c)(5,+-2),(-1,+-4) d)graphs do no

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find the coordinates of the points of intersection for the graphs of x^2 + 2y^2 = 33 and x^2 + y^2 = 2x + 19 a)(5,2),(-1,4) b)(5,4),(-1,2) c)(5,+-2),(-1,+-4) d)graphs do no      Log On


   

Question 216636: find the coordinates of the points of intersection for the graphs of
x^2 + 2y^2 = 33 and x^2 + y^2 = 2x + 19
a)(5,2),(-1,4)
b)(5,4),(-1,2)
c)(5,+-2),(-1,+-4)
d)graphs do not intersect
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll give you a hint to get started


First, note that there are x%5E2 and y%5E2 terms.


So take the second equation x%5E2%2By%5E2=2x%2B19 and solve for either x%5E2 or y%5E2. I'm going to choose y%5E2. So solve for y%5E2 to get y%5E2=-x%5E2%2B2x%2B19


Now simply plug in y%5E2=-x%5E2%2B2x%2B19 into x%5E2%2B2y%5E2=33 to get


x%5E2%2B2%28-x%5E2%2B2x%2B19%29=33


Now just solve the equation above to find 'x' and then use the value(s) of 'x' to find the corresponding value(s) of 'y'.