SOLUTION: Solve the following nonlinear system for x and y. Sketch a graph, showing the intersection points. x + y = 7 and x^2 + y^2 = 25

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Solve the following nonlinear system for x and y. Sketch a graph, showing the intersection points. x + y = 7 and x^2 + y^2 = 25       Log On


   



Question 4454: Solve the following nonlinear system for x and y. Sketch a graph, showing the intersection points.
x + y = 7
and

x^2 + y^2 = 25



Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
the equation with x^+y^2 is the equation of a circle with radius 5.

Please note that the line is not tangential, but it is in fact intersecting the circle in two points, close to one another.