SOLUTION: x-y=1 and x+y =5

Algebra ->  Decimal-numbers -> SOLUTION: x-y=1 and x+y =5      Log On


   

Question 1152405: x-y=1 and x+y =5
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.

Add the two given equations.


You will get then  2x = 1+5 = 6,  which implies  x = 3.


Then from the second given equation,  y = 5-x = 5-3 = 2.


ANSWER.  x= 3, y= 2 is the UNIQUE solution.

Eureka !

The problem is solved.

It is a standard way solving such equations, and it is called the Elimination Method.