Posted by **Kyle ** on Thursday, March 1, 2012 at 9:43am.

Solve the system

x^2+y^2-4x+2y=20

4x +3y =5

- math - Line+circle -
**MathMate**, Thursday, March 1, 2012 at 9:55am
Rewrite

x^2+y^2-4x+2y=20

as

(x-2)^2+(y+1)^2=25=5^2 ...(1)

represents a circle of radius 5 with centre (2,-1).

which intersects with the line

4x+3y=5 ...(2)

So write

y=(5-4x)/3 and substitute in the circle equation (1)

to get (x-2)^2+(((5-4x)/3)+1)^2=5^2

Solve for x in the above quadratic to get:

x=5 or x=-1

Find y accordingly.

## Answer This Question

## Related Questions

- Math Homework - Hello! I need help with these math questions, thanks! :) 1.) ...
- Math(Solve the system) - So I guess I have to: Solve the system using any ...
- Algebra - 7x + 5 = y 3.5x + 20 = y Solve the system of equations. What method ...
- Discrete Math - I am really stuck on these problems. I've worked a lot of them ...
- Math - Solve by eliminnation methods 2x-4y=5 2x-4y=6 solve the system by ...
- MATH PLEASE HELP! - Solve each system 3x+2y= -2 9x- y= -6 I know how to solve ...
- College Algebra - Solve the system of equations using matrices. If system has no...
- Algebra, help needed - I need help I don't know how to solve this system Solve ...
- algebra - i need help with these problems (either a solution or how to plug them...
- Algebra - I need help I don't know how to solve this system Solve the following ...

More Related Questions