SOLUTION: Solve the following systems 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 the following systems 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 91964: Solve the following systems 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 mathispowerful(115) About Me  (Show Source):
You can put this solution on YOUR website!
2x +3y = 1
5x +3y =16
multiply the first equation by -1
-2x - 3y = -1
add to second equation:
we get 3x = 15
so x = 5
substitute x in the first equation with 5 to solve for y
2%2A5+%2B+3y+=+1
10 + 3y = 1
solve this one variable equation
y = -3
so the answer is x = 5
y = -3