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Graphing Systems of Equations

label Algebra
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Graph each system of equations.  Then determine whether the system has no solution, one solution, or infinitely many solutions.  If the system has one solution, name it.

y=x+2

x-y=-2

Mar 17th, 2015

y = x + 2

x - y = - 2

We can write them as 

x - y = - 2 ................1

x - y = - 2 ...............2

Now multiply first equation by - 1 and adding them, we get

- x + y = 2

 x - y = - 2
--------------

0 + 0 = 0

   0 = 0

Now this statement is true so the system has an infinite number of solutions.

Graph

From graph we can see that both lines overlap on each other. 

Mar 17th, 2015

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