graph each system of equations. then determine whether the system of equations has one solution, no solution, or infinitely many solutions. if the system has one solution name it.

x-y=9

x+y=11





To solve systems of linear equation, we can use substitution method, graphing or elimination method.



Let us use Elimination method

     x - y = 9     Eliminate y and solve for x

     x + y = 11

    ____________

    2x     = 20

         x = 10



Substitute x = 10 to any of the two equations



     x + y = 11

     10 + y = 11

         y = 11 - 10

         y = 1



Checking

     x - y = 9

    10 - 1 = 9

         9 = 9   ----------->True



     x + y = 11

    10 + 1 = 11

        11 = 11  ----------->True



Therefore the system has one solution ( 10, 1)







Notice that the two lines intersect when x = 10 and y = 1



so the solution means intersection of the two equations



 

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
 x-y=9

x+y=11

----------

Solve each for y:

y=x-9

y=-x+11

---------



-------

Cheers,

stan H. 

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