How do you solve the following linear system: # 5x-3y=-14 , -x-2y=3 #?

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Answer 1 · 2015-12-30T05:49:50

#x=-37/13 and y=-1/13#

#5x-3y=-14##.........(i)#
#-x-2y=3##...............(ii)#

Multiply #(ii)# by #5# and add #(i)#.
#implies -5x-10y=15#
#and 5x-3y=-14#

By addition we have
#-13y=1#
#implies y=-1/13#

Put #y=-1/3# in #(i)#.
#implies 5x-3(-1/13)=-14#

#implies 65x+3=-182#

#implies 65x=-185#

#implies x=-185/65=-37/13#

#implies x=-37/13#