SOLUTION: Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x - y = 5 2x + y = 1

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. x - y = 5 2x + y = 1       Log On


   

Question 905462: Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
x - y = 5
2x + y = 1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Add the equations together to eliminate y.
x-y%2B2x%2By=5%2B1
3x=6
x=2
Then use either equation to solve for y.
2-y=5
y=-3