SOLUTION: Solve each of 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 ->  Expressions-with-variables -> SOLUTION: Solve each of 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 115787: Solve each of 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 josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
2x+%2B+3y+=+1
5x+%2B+3y+=+16
multiply the 1st by -1
-2x+-+3y+=+-1
5x+%2B+3y+=+16
add
3x+=+15
x+=+5
substitute
2x+%2B+3y+=+1
2%2A5+%2B+3y+=+1
3y+=+-9
y+=+-3
The solution is (5,-3)
It's a unique solution