How do you solve the system of equations #12x + 2y = 22# and #10x - 15y = 35#?

1 Answer
Nallasivam V
May 21, 2017

#x=2#
#y=-1#

Explanation:

Given-

#12x+2y=22# ---------------(1) #xx15#
#10x-15y=35# ----------------(2) #xx2#

#180x+30y=330#-------------(3)
#20x-30y=70#-----------------(4) ---#(3) + (4)#
#200x=400#
#x=400/200=2#

#x=2#

Substitute #x=2# in equation (1)

#12(2)+2y=22#
#24+2y=22#
#2y=22-24=-2#
#y=(-2)/2=-1#
#y=-1#

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