SOLUTION: I have three problems I can't figure out they are linear equations by addition, they are -3x-5y=-7 eqation 1 -4x+5y=14 equation 2 3x+y=30 equation 1 -3x+7y=6 equation

Algebra ->  Linear-equations -> SOLUTION: I have three problems I can't figure out they are linear equations by addition, they are -3x-5y=-7 eqation 1 -4x+5y=14 equation 2 3x+y=30 equation 1 -3x+7y=6 equation      Log On


   



Question 489175: I have three problems I can't figure out they are linear equations by addition, they are -3x-5y=-7 eqation 1
-4x+5y=14 equation 2
3x+y=30 equation 1
-3x+7y=6 equation 2
2x-y=2
2x+3y=22
these are homework quesstion and I am not good at linear equations
Thank you so much

Answer by chessace(471) About Me  (Show Source):
You can put this solution on YOUR website!
I'm guessing your task is to see which pairs of linear relationships reduce to a simple linear equation by the simple process of adding the pair together.
So just add them term by term, i.e., the x's, the y's, and the right hand side constants.
In the first pair, (-5y) + (+5y) --> 0 so the result is a linear equation in x.
Similar in 2nd pair (x terms cancel, y remains).
Last pair are not helped by addition of equations (substration would do it).