How do you solve the following system?: #21x +14y = 3 , -14x - 59y = -12#

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Answer 1 · 2018-06-15T18:15:28

#x=-351/623# and #y=30/89#

#2*(21x+14y)+3*(-14x-59y)=2*3+3*(-12)#

#42x+28y-42x-117y=6-36#

#-89y=-30#, so #y=(-30)/(-89)=30/89#

Hence,

#-14x-59*30/89=-12#

#-14x-1770/89=-12#

#-1246x-1770=-1068#

#-1246x=702#

#x=702/(-1246)=-351/623#