How do you solve the following system?: # 2x +3y =-5 , -2x -12y = 4#

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Answer 1 · 2016-01-23T19:55:38

#2x+3y=-5.................(i)#
#-2x-12y=4................(ii)#

Add #(i)# and #(ii)#

#implies 2x-2x+3y-12y=-5+4#
#implies -9y=-1#

#impliesy=1/9#

Put #y=1/9# in #(i)#

#implies 2x+3*1/9=-5 #

#implies 2x+1/3=-5#

#implies 6x+1=-15#
#implies 6x=-16#

#implies x=-8/3#