How do you solve the following linear system: # 2x+ 3y=-1 , 5x+y=8 #?

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Answer 1 · 2018-06-30T23:42:46

#x=25/13,\ y=-21/13#

Given that

#2x+3y=-1\ .......(1)#

#5x+y=8\ .......(2)#

Multiplying (2) by #3# on both sides & subtracting from (1), we get

#2x+3y-3(5x+y)=-1-3\times8#

#-13x=-25#

#x=25/13#

setting #x=25/13# in (2), we get

#5(25/13)+y=8#

#y=8-125/13=-21/13#