How do solve the following linear system?: # 2x - 3y = 1 , 4x+21y=6 #?

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Answer 1 · 2018-04-13T13:46:19

#y=4/27#
#x=13/18#

#2x-3y=1# --- (1)
#4x+21y=6# --- (2)

(1) #times -7#,

#(2x-3y)times(-7) = 1times (-7)#
#-14x+21y=-7#
#21y=14x-7# --- (3)

Sub (3) into (2)

#4x+14x-7=6#

#18x=13#

#x=13/18# --- (4)

Sub (4) into (3)

#21y=14x-7#

#y = 1/21((14times13/18)-7)#

#y=4/27#