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 ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> 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

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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(499) 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.
%0D%0Adrawing%28+400%2C+400%2C+-3%2C+8%2C+-3%2C+8%2C%0D%0A++grid%281%29%2C%0D%0A++line%28+0%2C+7%2C+7%2C+0+%29%2C%0D%0A++circle%28+0%2C+0%2C+5+%29%0D%0A%29%0D%0A
Please note that the line is not tangential, but it is in fact intersecting the circle in two points, close to one another.