How do you solve the system #-6x+5y=1# and #6x+4y=-10#?

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Answer 1 · 2015-06-10T09:41:13

The solution for the system of equations is
# color(red)( x =-1 , y=-1#

#-color(red)(6x)+5y=1# ........equation #(1)#
#color(red)(6x)+4y=-10#.......equation #(2)#

Adding equations #1# and #2# to eliminate #6x# :
#cancel6x+5y=1#
#cancel6x+4y=-10#

# 9y = -9#
#color(red)(y=-1#

Substituting #y# in equation #1# to find #x#

#-6x = 1-5y#
#x = (1-5y)/-6#

#x = (1-5.(-1))/-6#

# x = (1+5)/-6#
#color(red)(x = -1#