How do you solve the following system?: #x +2y = 7 , 2x - 7y = 1 #

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How do you solve the following system?: #x +2y = 7 , 2x - 7y = 1 #

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Answer 1 · 2018-04-04T16:27:17

#(x,y)=(51/11,13/11)#

Explanation:

#x=7-2y# solve for #x# in terms of #y# using the first equation
#2(7-2y)-7y=1# plug into the other equation
#14-4y-7y=1# distribute
#14-11y=1# combine
#-11y=-13#
#y=13/11#

Now, going back to the other equation (the first one)
#x+2(13/11)=7# plug in value of #y#
#x+26/11=7#

#x+26/11=77/11#

#x=51/11#

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How do you solve the following system?: #x +2y = 7 , 2x - 7y = 1 #

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