Question

system of equations with circles help? will medal

Answer 1

I need some help solving some problems, it calls for step by step instructions. I ask this so i can see and learn from what has been taught to me. If you can help then Thank you!!

Solve the following systems of a circle and a line by finding the intersection point(s) if any algebraically.

2.{ 2x+y=15
(x-2)^2+(y-1)^2=25

Answer 2

you can solve for y with the line, and insert that into the equation for the circle. Then solve for x.
2x+y=15
y=15-2x

Answer 3

take the first equation and find the value of y in terms of x
then plug this value instead of x in the second equation
this will give you an equation in x which you can solve

Answer 4

(x-2)^2 + ((15-2x)-1)^2 = 25

you will need to expand the first term and simplify and expand the second term. Then solve for x

Answer 5

this will give you 2 values for x
then finally plug this value into the first equation to find the 2 corresponding values of y

Answer 6

The x that you will get will be the x piece of the (x, y) coordinate of the intersection point. you can choose which equation to solve for y with, but it is easier to use the line equation.

Answer 7

Ok im just now learning this, i got the points 5,5 and 7,1 using a calculator but i want to know how to find it

Answer 8

which im pretty sure just happend

Answer 9

any more help needed?