SOLUTION: solve each of the following problem by addititon. if a unique solution does not exist, state whether the system is inconsistent or dependent. 2x+3y=1 5x+3y=16

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: solve each of the following problem by addititon. if a unique solution does not exist, state whether the system is inconsistent or dependent. 2x+3y=1 5x+3y=16      Log On


   



Question 107255This question is from textbook
: solve each of the following problem by addititon. if a unique solution does not exist, state whether the system is inconsistent or dependent.
2x+3y=1
5x+3y=16
This question is from textbook

Answer by Annabelle1(69) About Me  (Show Source):
You can put this solution on YOUR website!
2x+3y=1...............(1)
5x+3y=16..............(2)
(1)+-(2)
-(2)=-5x-3y=-16
(1)+-(2)
2x+-5x+3y-3y=1+-16
-3x=-15
x=-15/-3
x=5
sub into (1)
2*5+3y=1
10+3y=1
3y=1-10
3y=-9
y=-3
you have a solution for x and y which means the solution is unique