How do solve the following linear system?: # 3x – 2y = 7 , 11x + 3y + 7 = 0 #?

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Answer 1 · 2015-12-28T23:33:07

#3x-2y=7..........(i)#
#11x+3y+7=0 implies 11x+3y=-7............(ii)#
Multiply #(i)# by #3# and (ii) by 2 and add
#implies9x-6y=21#
#22x+6y=-14#

By addition we have
#31x+0=7#

#implies x=7/31#

Put #x=7/31# in #(i)#

#implies 3(7/31)-2y=7#

#implies 21/31-2y=7#

#implies 2y=21/31-7#

#implies 2y=(21-217)/31#

#implies 2y=-196/31#

#implies y=-98/31#