How do you solve the following linear system: # - 12x + y = 15 , x + 1/2y = 7 #?

1 Answer
Lucy
Jul 12, 2018

#y=14 1/7#
#x=-1/14#

Explanation:

#-12x+y=15# --- (1)
#x+1/2y=7# --- (2)

From (1),
#-12x+y=15#
#y=15+12x# --- (3)

Sub (3) into (2)
#x+1/2y=7#
#x+1/2(15+12x)=7#
#2x+15+12x=14#
#14x=-1#
#x=-1/14# --- (4)

Sub (4) into (3)
#y=15+12times(-1/14)#
#y=15-6/7#
#y=14 1/7#

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