How do you solve 6x+y=30 and 7x+2y=32?

1 Answer
Aug 14, 2016

Answer:

#x=5.6#
#y=-3.6#

Explanation:

Multiplying both the sides of the equation #6x+y=30# by #2#
We get
#12x+2y=60#
#7x+2y=32#
Subtracting #7x+2y=32# from #12x+2y=60#
we get
#12x-7x+2y-2y=60-32#
or
#5x+0=28#
or
#5x=28#
or
#x=28/5#
or
#x=5.6#--------------------------Ans #1#

By plugging the value #x=5.6# in the equation #6x+y=30#
We get

#6times5.6+y=30#
or
#33.6+y=30#
or
#y=30-33.6#
or
#y=-3.6#------------------------------Ans #2#