SOLUTION: Solve the systems of equations 1. x^2 - y^2 = 24 xy = 35 2. x^2 - y^2 = 33 xy = 28 3. 2a = 3b a^2 + b^2 = 117

Algebra ->  Systems-of-equations -> SOLUTION: Solve the systems of equations 1. x^2 - y^2 = 24 xy = 35 2. x^2 - y^2 = 33 xy = 28 3. 2a = 3b a^2 + b^2 = 117      Log On


   

Question 982501: Solve the systems of equations
1. x^2 - y^2 = 24
xy = 35
2. x^2 - y^2 = 33
xy = 28
3. 2a = 3b
a^2 + b^2 = 117
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+-+y%5E2+=+24
xy = 35
x=35/y
%2835%2Fy%29%5E2-y%5E2=24

%281225-y%5E4%29%2Fy%5E2+=24
1225-y%5E4=24y%5E2

y%5E4%2B24y%5E2-1225=0

y%5E4-49y%5E2%2B25y%5E2-1225=0

y%5E2%28y%5E2-49%29%2B25y%5E2%28y%5E2-49%29=0
%28y%5E2-49%29%28y%5E2%2B25%29=0
Either
%28y%5E2-49%29=0 OR %28y%5E2%2B25%29=0

y%5E2=49+ OR y%5E2=-25
y= +/- 7 OR y=5i