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 ->  Trigonometry-basics -> 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= ( )       Log On


   

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) About Me  (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)