SOLUTION: x-y=0 x+y=16

    x - y = 0      (1)

    x + y = 16     (2)


This system can be solved in two ways.



1.  First method to use is the ELIMINATION method.

    Add equations 1) and (2)  (both sides).

    You will get


    2x = 16;  hence,  x = 16/2 = 8.


    Next, substitute the found value x= 8 into equation (1) to find "y".  You will get

    8 - y = 0,  which implies y = 8.


    ANSWER.  The solution to the system is  x= 8,  y= 8.




2.  The second method to use is the SUBSTITUTION method.


    From equation (1), express x = y.   Substitute it into equation (2), replacing "y" there.  You will get


    x + x = 16,   or  2x = 16,  which implies  x = 16/2 = 8.


    Then again, you substitute the found value of x= 8 into equation (1)  (same as you do in the solution ABOVE),

    and you get y = 8.


    ANSWER.  The solution to the system is  x= 8,  y= 8.