How do solve the following linear system?: #7x + 1 = -3y, 3x+ 2y - 3 = 0 #?

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Answer 1 · 2018-07-27T08:11:33

#x=-11/5, \ \ \ y=24/5#

Given equations

#7x+1=-3y#

#7x+3y=-1\ ........(1)# &

#3x+2y-3=0#

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

Multiplying (2) by #3/2# & subtracting from (1) as follows

#7x+3y-3/2(3x+2y)=-1-3/2(3)#

#5/2x=-11/2#

#x=-11/5#

setting value of #x# in (1), we get

#7(-11/5)+3y=-1#

#3y=72/5#

#y=24/5#