How do you solve the following system of equations?: #2x + 15y = -4 , -3x + 3y=10#?

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Answer 1 · 2016-01-07T21:47:39

#x=-54/17# and #y=8/51#

#2x+15y=-4##.................(i)#
#-3x+3y=10##...............(ii)#

Multiply #(i)# by #3# and #(ii)# by #2#

#implies 6x+45y=-12#
#and -6x+6y=20#

By addition we have

#51y=8#

#implies y=8/51#

Put #y=8/51# in #(i)#

#implies 2x+15(8/51)=-4#

#implies 102x+120=-204#

#implies 102x=-324#

#implies x=-54/17#