How do you solve 2x + y = 12 and 3x - y = 13?

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Answer 1 · 2016-01-23T11:24:50

#x= 5#
#y=2#

# 2x + y = 12 # ----------------------(i)
# 3x - y = 13 # -----------------------(ii)

Add (i) and (ii) we get,

#5x = 25 #

#x = 25/5#

#x= 5# -------------------(iii)

Substitute (iii) in equation (i)

#2(5) + y = 12#

#10 + y = 12 #

#y =12-10 #

#y=2#

#Solution = ( 5,2)