How do you solve the system of equations #5x+2y=21# and #-2x+6y=-34#?

1 Answer
Deepak G.
Jul 24, 2016

#x=97/17#
#y=-64/17#

Explanation:

#5x+2y=21# ------Eq 1
#-2x+6y=-34# -------Eq 2 or #y=(2x-34)/6#
Multiplying both sides of Eq 1 by #3#
we get
#15x+6y=63#
Subtracting Eq 2 #-2x+6y=-34# from the above
we get
#(15x+6y)-(-2x+6y)=63-(-34)#
or
#15x+2x+6y-6y=63+34#
or
#17x=97#
#x=97/17# -------Ans #1#

#y=(2x-34)/6#
or
#y=(2(97/17)-34)1/6#
or
#y=(194/17-34)/6#
or
#y=(194-578)/(17)(1/6)#
or
#y=-384/102#
or
#y=-64/17# ---------Ans #2#

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