SOLUTION: please solve this for me: The square of X is equal to 4 times the square of Y.if X is 1 more than twice Y..what is the value of X

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Question 940693: please solve this for me:
The square of X is equal to 4 times the square of Y.if X is 1 more than twice Y..what is the value of X
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
The square of X is equal to 4 times the square of Y:
X%5E2=4Y%5E2
X is equal to 1 more than twice Y:
X=2Y%2B1
substitute for X , solve for Y:
%282Y%2B1%29%5E2=4Y%5E2
4Y%5E2%2B4Y%2B1=4Y%5E2
4Y%2B1=0
4Y=-1
Y=-1%2F4
Find X:
X=2Y%2B1=2%28-1%2F4%29%2B1=1%2F2
CHECK:
X%5E2=4Y%5E2
%281%2F2%29%5E2=4%28-1%2F4%29%5E2
+1%2F4=4%281%2F16%29
1%2F4=1%2F4