SOLUTION: Find the points of intersection of the graphs of the equations. Order your answers from smaller to larger (x,y). x^2 + y^2=25 -2x + y=10 x,y= ( ) x,y= ( )

Algebra.Com
Question 593875: Find the points of intersection of the graphs of the equations. Order your answers from smaller to larger (x,y).
x^2 + y^2=25
-2x + y=10
x,y= ( )
x,y= ( )
Thanks

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Find the points of intersection of the graphs of the equations.
x^2 + y^2=25
-2x + y=10
**
-2x + y=10
y=2x+10
..
x^2 + y^2=25
x^2 + (2x+10)^2=25
x^2+4x^2+40x+100=25
5x^2+40x+75=0
x^2+8x+15=0
(x+3)(x+5)=0
x+3=0
x=-3
y=2x+10=-6+10=4
and
x+5=0
x=-5
y=2x+10=-10+10=0
..
Points of intersection: (-3,4) and (-5,0)

RELATED QUESTIONS

Find the points of intersection of the graphs of x^2+y^2=25 and y=3x-3... (answered by ewatrrr)
use substitution to find all points of intersection of the graphs of x-y=2 and... (answered by sofiyac)
two equations 5x^2 + 3y^2 =17 -x+y=-1 i need to find the points of intersection ,if... (answered by checkley71,scott8148)
Find the points of intersection of the graphs: x^2/4 + y^2/9 =1 & y =... (answered by stanbon)
Find the points of intersection of the graphs of x^2+y^2=49 and y=2x-2... (answered by ewatrrr)
Find the number of points of intersection between the graphs of the following equations:... (answered by CPhill)
Find the points of intersection, if any, of the graphs in the system y^2+4x=0... (answered by htmentor)
Find the distance between the points of intersection of the graphs y = x^2 + 1 and y =... (answered by reviewermath,josgarithmetic)
Two equations and their graphs are given. Find the intersection point(s) of the graphs by (answered by ewatrrr)