SOLUTION: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent. y=x+4 3y-5x=6

Algebra ->  Linear-equations -> SOLUTION: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent. y=x+4 3y-5x=6      Log On


   

Question 177968: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent.
y=x+4
3y-5x=6
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
y=x+4
3y-5x=6
:
3(x+4)-5x=6
:
3x+12-5x=6
:
-2x=-6
:
highlight%28x=3%29
:
highlight%28y=3%2B4=7%29
:
this system is consistent(has a solution)
:
this system is independent(has only one solution)