How do solve the following linear system?: # -7x+y=-19 , x-2y=8 #?

1 Answer
May 7, 2017

Answer:

#(19/7,-37/14)#

Explanation:

From the second equation, by adding #2y# to both sides of the equation, we get #x=2y+8#
By substituting this into the first equation, we get #-7(2y+8)+y=-19#
Here we can solve for y:
#-14y-56+y=-19#
#-13y=37#
#y=-37/13#
By substituting this value of #y# into the second equation to find #x#:
#x-2(-37/13)=8#
#x+74/13=8#
#x=8-74/13=(104-74)/13=30/13#
Thus we get the coordinate point #(30/13,-37/13)# as our answer.