SOLUTION: Solve by substitution. Determine whether the equation is independent, dependent or inconsistent. y = x + 4 3y

SOLUTION: Solve by substitution. Determine whether the equation is independent, dependent or inconsistent. y = x + 4 3y - 5x = 6 Thanks!

Question 191013: Solve by substitution. Determine whether the equation is independent, dependent or inconsistent.
y = x + 4
3y - 5x = 6
Thanks!
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
y = x + 4......eq 1
3y - 5x = 6....eq 2
:
take y's value from eq 1 and substitute it into eq 2
:
3(x+4)-5x=6
:
3x+12-5x=6
:
-2x=-6
:
x=3
:
y=x+4=3+4=7
:
this system is consistent and independent since it has one and only one solution
:

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