SOLUTION: Hi, can someone please help me solve the following... x^2 + y^2 = 14, x^2 - y^2 = 4

Algebra.Com
Question 446392: Hi, can someone please help me solve the following...
x^2 + y^2 = 14,
x^2 - y^2 = 4

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
x^2 + y^2 = 14,
x^2 - y^2 = 4
--------------
Add and solve for "x^2":
2x^2 = 18
x^2 = 9
x = +3 or x = -3
---
If x = +3 or -3 solve for "y":
y^2 = 14-9
y^2 = 5
y = sqrt(5) or y = -sqrt(9)
----
Ans: (3,sqrt(5))or (-3,sqrt(5)) or (3,-sqrt(5)) or (-3,-sqrt(5))
=====================
Cheers,
Stan H.
=====================

RELATED QUESTIONS

Could someone please help me solve the following non-linear system: x^2/4-y^2/16=1 y=x (answered by Alan3354)
Hi can someone please help me with this question? simply the following and state any... (answered by Alan3354)
Hi can someone help show me how this equation will look when graphed? "sketch the... (answered by Nate,stanbon)
Can someone help me solve the system of equations here symbolically, graphically and... (answered by unlockmath)
could someone please help me with this problem? Solve the following system of... (answered by mukhopadhyay)
Hi, could you please help me to find the domain of the following function? y= log[(x^2 - (answered by jsmallt9)
y = (3/4)X + 2. Can someone please help!... (answered by funmath)
Hi, can someone please help me solve the following inequality? 2 < (5 - 2x)/3 < 7 (answered by funmath)
Hi, can someone please help me solve the following by graphing? Thanks in advance!... (answered by Edwin McCravy)