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)   (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 =  , x = 9

(9,3) the solution to linear system

CHECKING our answer***



  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)



 

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