SOLUTION: Which ordered pair is the solution set for this system of equations? x + y = 8 y = x - 3

Algebra ->  Coordinate-system -> SOLUTION: Which ordered pair is the solution set for this system of equations? x + y = 8 y = x - 3       Log On


   

Question 252500: Which ordered pair is the solution set for this system of equations?
x + y = 8
y = x - 3
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 8
y = x - 3
:
Rearrange the 2nd equation, add to the 1st equation
x + y = 8
-x+ y = -3
-------------adding eliminates x find y
0 + 2y = 5
y = 5%2F2
y = 2.5
:
Find x, the original 2nd equation
2.5 = x - 3
2.5 + 3 = x
5.5 = x
:
Ordered pair: 5.5, 2.5
:
Check solution in original 1st equation
x + y = 8
5.5 + 2.5 = 8