Solve systems of equations by graphing

Question

Solve systems of equations by graphing

 

x²+y²= 5

 

x+y= 3

Answer 1

To graph the first equation you need to recognize that it is a circle (x²+y²=r²) where the center point is (0,0).  An example with a center point of (2,-3) would be (x-2)²+(y+3)²=r².  The radius of your circle is √(5) ≈ 2.24

 

The second equation is much easier to graph.  Simply find the y intercept (where x equals 0), and it is just a straight line.

 

The points where the two graphs intersect are the solutions to x and y.

 

x = 1 and 2

y = 2 and 1