How do solve the following linear system?: # 2x+5y=1 , -6x-2y=-8 #?

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Answer 1 · 2018-06-06T18:37:09

#x=19/13# and #y=-5/13#

#2*(2x+5y)+5*(-6x-2y)=2*1+5*(-8)#

#4x+10y-30x-10y=2-40#

#-26x=-38#

So, #x=(-38)/(-26)=19/13#

Hence,

#2*19/13+5y=1#

#38/13+5y=1#

#5y=-25/13#, thus #y=-5/13#