SOLUTION: 2s-13t=120 -14s-91t=-840 suppose to solve using any appropriate method.

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Question 392680: 2s-13t=120
-14s-91t=-840
suppose to solve using any appropriate method.

Found 3 solutions by Alan3354, rfer, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2s-13t=120
-14s-91t=-840
--------------
14s-91t = 840 (1st eqn x 7)
---------------- Add
-182t = 0
t = 0
------------
2s - 13*0 = 120
s = 60

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
s=6.5t+60
-14s-91t=-840
-14*(6.5t+60)-91t=-840
-91t-840-91t=-840
-182t=0
t=0
------------------------
2s=120
s=60
------------------
-14*60=-840
-840=-840

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) 2s+-+13t+=+120
(2) -14s+-+91t+=+-840
First, multiply both sides of (2) by -1 to get:
(2) 14s+%2B+91t+=+840
I notice that 7 divides each term, so, dividing each term,
(2) 2s+%2B+13t+=+120
This is the same as (1) except for the sign of 13t , so I'll
add (1) and (2)
(1) 2s+-+13t+=+120
(2) 2s+%2B+13t+=+120
4s+=+240
s+=+60
Now I plug this back into (1)
(1) 2%2A60+-+13t+=+120
(1) 120+-+13t+=+120
Subtract 120 from both sides
-13t+=+0
t+=+0
the solution is s+=+60,t+=+0