How do you solve the system #-6x+6y=6# and #-6x+3y=-12#?

1 Answer
Jun 10, 2015

Answer:

The solution for the system of equations is
# color(red)(x = 5 , y=6#

Explanation:

#-color(red)(6x)+6y=6#............equation #(1)#
# -color(red)(6x) +3y = -12#.......equation #(2)#

Subtracting equation #2# from #1# to eliminate #color(red)(6x#

#cancelcolor(red)(-6x)+6y=6#
#cancelcolor(red) (+6x)-3y = +12#

# 3y = 18#
# color(red)(y=6#

Substituting #y# in equation #1# to find #x#
# -6x = 6-6y#
# x = (6-6y)/-6#
# x = (6-36)/-6#
# x =-30/-6#
#color(red)(x=5#