SOLUTION: Solve by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent. 2x + 3y = 1 5x + 3y = 16

Algebra ->  Linear-equations -> SOLUTION: Solve by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent. 2x + 3y = 1 5x + 3y = 16       Log On


   

Question 109762: Solve by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
2x + 3y = 1
5x + 3y = 16
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.2x+%2B+3y+=+1
2.5x+%2B+3y+=+16
Multiply equation 2 by (-1) and add,
2x%2B3y-5x-3y=1-16
-3x=-15
highlight%28x=5%29
From 1,
1.2x%2B3y=1
2%285%29%2B3y=1
10%2B3y=1
3y=-9
highlight%28y=-3%29
There is a unique solution.