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| Question 551557:  14x+6y=24
 6x+14y=12
 Answer by mananth(16946)
      (Show Source): 
You can put this solution on YOUR website! 14x+6y=24.............1 6x+14y=12.............2
 add the two equations
 we get 20x+20y=36
 /4
 5x+5y=9
 subtracrt (2) from (1)
 8x-8y=12
 /4
 2x-2y=3
 5	x	+	5	y	=	9	.............1
 2	x		-2	y	=	3	.............2
 Eliminate y
 multiply (1)by 		2
 Multiply (2) by		5
 10	x		10	y	=	18
 10	x		-10	y	=	15
 Add the two equations
 20	x				=	33
 /	20
 x	=	33/20
 plug value of 			x	in (1)
 5	x	+	5	y	=	9
 33/4		+	5	y	=	9
 5	y	=	9		-33/4
 5	y	=	3/4
 y	=	3/20
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