SOLUTION: Please help and solve this system by the addition method and indicate if the problem is independent, inconsistent or dependent. Thank you. x + 3 (y - 1) = 11 2(x - y) + 8y = 2

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Please help and solve this system by the addition method and indicate if the problem is independent, inconsistent or dependent. Thank you. x + 3 (y - 1) = 11 2(x - y) + 8y = 2      Log On


   

Question 137276This question is from textbook
: Please help and solve this system by the addition method and indicate if the problem is independent, inconsistent or dependent. Thank you.
x + 3 (y - 1) = 11
2(x - y) + 8y = 28
Thank you very much. This question is from textbook

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's expand both equations and see what we get.
1.x%2B3%28y-1%29=11
x%2B3y-3=11Distribute.
x%2B3y=14Simplify.
2.2%28x-y%29%2B8y=28
2x-2y%2B8y=28Distribute.
2x%2B6y=28Simplify.
x%2B3y=14Divide both sides by 2.
Equations 1 and 2 are the same equation.
That is, the system of equations is dependent.