SOLUTION: Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. 3x + 2y = 6 x - y = 2

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. 3x + 2y = 6 x - y = 2      Log On


   

Question 848027: Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
3x + 2y = 6
x - y = 2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply eq. 2 by 2 and add to eq. 1,
3x%2B2y%2B2x-2y=6%2B4
5x=10
x=2
Then use either equation to solve for y
2-y=2
y=0
(2,0) one point.