Thursday

July 24, 2014

July 24, 2014

Posted by **Jill** on Monday, March 12, 2012 at 3:30pm.

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

4x +3y =5

- math -
**MathMate**, Monday, March 12, 2012 at 3:39pmThe first one is a circle centred at (2,-1), or

(x-2)^2+(y+1)^2=20+4+1=25

or

C: (x-2)^2+(y+1)^2=5^2

The second equation is a straight line.

L: 4x+3y=5

To solve the system, set

y=(5-4x)/3

and substitute into equation C

or

(x-2)^2+((5-4x)/3+1)^2=25

Solve for x to get x=5 or x=-1

Substitute into y=(5-4x)/3

to get

y=-5, y=3

So the intersections are

(5,-5), or (-1,3)

**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 ...

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 ...

Math-System of Equations - 1. Solve for x, y, z in the following system: 2x-3y-2...

math - Solve the system 6x+4y = 12 9x+6y = 18 If the system has infinitely many ...

algebra - i need help with these problems (either a solution or how to plug them...