SOLUTION: find the point of intersections of (x-1)^2+(y-3)^2=10,x^2+(y+1)^2=5

Question 1044078: find the point of intersections of (x-1)^2+(y-3)^2=10,x^2+(y+1)^2=5
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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find the point of intersections of (x-1)^2+(y-3)^2=10,x^2+(y+1)^2=5
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You are given

 = ,
 = .

It is the same as

 = ,   (1)
 = .           (2)

Distract equation (2) from equation (1)  (both sides). You will get

-2x - 8y = -4,  or

x + 4y = 1.   (3)

From (3), express x = 1 - 4y and substitute it into either equation (1) or (2).
You will get single quadratic equation for one unknown y.

Solve it and get the answer.

See the lesson
- Solving systems of algebraic equations of degree 2
on solving similar equations.

Also, you have this free online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.

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