How do you solve the system of equations: x + 3y = 1 and -2x + y = -23?

1 Answer
Aug 8, 2015

Answer:

The solution for the system of equations is
#color(blue)(x=10, y=-3#

Explanation:

#x + 3y = 1 # , multiplying this equation by #2#

#color(blue)(2x) +6y=2#...............equation #(1)#

#-color(blue)(2x) + y = -23#.....equation #(2)#

Now , we can solve by elimination , upon addition of the two equations #color(blue)(2x# gets eliminated.

#cancelcolor(blue)(2x) +6y=2#

#-cancelcolor(blue)(2x) + y = -23#

#7y =-21#
#color(blue)(y=-3#

Now, we can find #x# by substituting the value of #y# in equation #(1)#

#x + 3y = 1 #

#x=1-3y#

#x=1-(3*(-3))#

#color(blue)(x=10#