How do you find the solution of 2x + 4y = 8 and x + 4y = 6?

1 Answer
Aug 14, 2015

Answer:

The solutions are
#color(blue)(x=2,y=1#

Explanation:

#color(blue)(2x) + 4y = 8 #........equation #1#

# x + 4y = 6# , multiplying this equation by #2#
# color(blue)(2x) + 8y =12#......equation #2#

Solving by elimination :
Subtracting equation #2# from #1# results in elimination of #color(blue)(2x#

#cancel(color(blue)(2x)) + 4y = 8 #
# -cancel(color(blue)(2x)) - 8y =-12#

#-4y=-4#
#color(blue)(y=1#

Now finding #x# by substituting the value of #y# in equation #2#
# x + 4y = 6#
#x=6-4y#
#x=6-4*1#
#color(blue)(x=2#