SOLUTION: Solve the system by the linear combination method, show all work carefully, show your answer, and check your answer. x-2y=3 x+y=2(y+3)

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Question 1172803: Solve the system by the linear combination method, show all work carefully, show your answer, and check your answer.
x-2y=3
x+y=2(y+3)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
x-2y=3
x+y=2(y+3) 0r x - y = 6
x-2y=3
x- y= 6
-x+2y=-3 |Multiplying 1st EQ thru by -1 to eliminate x
x- y= 6
y = 3 and x = 2y+%2B+3 , x = 9
(9,3) the solution to linear system
CHECKING our answer***
x%2By=2%28y%2B3%29
12 = 12 Checks!
Wish You the Best in your Studies.
Graphing y = x - 6 Green and y = x/2 - 3/2 Blue
Lines meet at P(9,3)