How do you solve 4x + y = -3 and 5x - y= -6?

1 Answer
Nov 10, 2015

Answer:

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

Explanation:

#4x + color(blue)(y) = -3 #........equation #1#
#5x - color(blue)(y)= -6#.........equation #2#

Solving by elimination :
Adding equations #1# and #2# eliminates #color(blue)(y#

#4x + color(blue)(y) = -3 #
#5x - color(blue)(y)= -6#

#9x=-3-6#

#9x=-9#

#x=-9/9#

#color(blue)(x=-1#

Now, substitute the value of #x# in equation #1# to find #y#

#4x +y = -3 #

#4*(-1) +y = -3 #

#-4 +y = -3 #

#y = -3 +4#

#color(blue)(y=1#