How do you solve -x+y=5 and x-5y=-9?

1 Answer
Sep 9, 2015

Answer:

The solution for the system of equations is :
#color(blue)(x=-4, y=1#

Explanation:

#color(blue)(-x)+y=5 #.......equation #(1)#
#color(blue)(x)-5y=-9#....equation #(2)#

Solving by elimination

Adding the two equations results in elimination of #color(blue)(x#
#cancelcolor(blue)(-x)+y=5 #.......equation #(1)#
#cancelcolor(blue)(x)-5y=-9#....equation #(2)#

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

Finding #x# by substituting #y# in equation #1#

#-x+y=5 #
#y- 5=x #
#1- 5=x #
#color(blue)(x=-4#