Answer to Question 4

 

4.   x2 + y2 = 25
  x - y = 5		  
Start with quadratic equation. x2 + y2 = 25
This is the equation of a circle. Center = (0,0)
Radius = 5
Graph the circle.
Now graph the line.  

Get the equation in standard form.
 y = x - 5
Slope = 1
y-intercept = -5

x2 + y2 = 25
x - y = 5
Find the points of intersection.  

Solution Set:
{(0,-5),(5,0)}

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