SOLUTION: 5x^2+5y^2=25 And 36y^2-4x^2=144

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Question 967088: 5x^2+5y^2=25
And
36y^2-4x^2=144
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E2%2B5y%5E2=25
x%5E2%2By%5E2=5
.
.
36x%5E2-4y%5E2=144
9x%5E2-y%5E2=36
Substitute from first equation,
9x%5E2-%285-x%5E2%29=36
10x%5E2=41
x%5E2=41%2F10
x=0+%2B-+sqrt%2841%2F10%29
x=0+%2B-+sqrt%28410%29%2F10%29
Then,
y%5E2=5-41%2F10
y%5E2=%2850-41%29%2F10
y%5E2=9%2F10
y=0+%2B-+%283%2F10%29sqrt%2810%29%29
.