SOLUTION: Please solve by addition method: x - y = 3 -6x + 6y = 17

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Please solve by addition method: x - y = 3 -6x + 6y = 17      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 23717: Please solve by addition method:
x - y = 3
-6x + 6y = 17

Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this by the addition method, you need to have the same coefficient for one of the variables, but with opposite signs. In this case, since you have a -y and a +6y, it would be nice to multiply both sides of the first equation by 6, which would give you a -6y and a +6y that will subtract out!

6(x - y) = 6*3
-6x + 6y = 17

6x - 6y = 18
-6x + 6y = 17

Add the two equations together, and you get:
0 + 0 = 35
This is NOT possible, so there is NO SOLUTION. What causes no solution is the fact that the two lines are actually parallel!

R^2 at SCC