SOLUTION: Solve and determine whether the equations are independent, inconsistent, or dependent: x+3y=2 -x+y=1

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve and determine whether the equations are independent, inconsistent, or dependent: x+3y=2 -x+y=1      Log On


   

Question 297844: Solve and determine whether the equations are independent, inconsistent, or dependent:
x+3y=2
-x+y=1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Add the equations together to solve for y
x%2B3y-x%2By=2%2B1
4y=3
highlight%28y=3%2F4%29
Now use either equation to solve for x,
-x%2By=1
x=y-1
x=3%2F4-1
highlight%28x=-1%2F4%29
Consistent and independent.