SOLUTION: a-b=3005 a+b=7826 I'm so confused as to how to solve this and could use some help. Thanks in advance!

Algebra ->  Linear-equations -> SOLUTION: a-b=3005 a+b=7826 I'm so confused as to how to solve this and could use some help. Thanks in advance!      Log On


   



Question 1093293: a-b=3005
a+b=7826
I'm so confused as to how to solve this and could use some help. Thanks in advance!

Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
a-b=3005
a+b=7826
---------------- Add
2a = 10831
a = 5415.5
-----
Sub for a in either equation:
a+b=7826
b = 7826 - a
b = 2410.5

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can add any equations and their
sum will still be a true equation
(1) +a+-+b+=+3005+
(2) +a+%2B+b+=+7826+
-----------------------
+2a+=+10831+
+a+=+5415.5+
-----------------------
Put this result back into either equation
to find +b+
(2) +a+%2B+b+=+7826+
(2) +5415.5+%2B+b+=+7826+
(2) +b+=+2410.5+
--------------------------
check answers:
(1) +a+-+b+=+3005+
(1) +5415.5+-+2410.5+=+3005+
(1) +3005+=+3005+
OK