How do you solve the following linear system: # y=2x-1, x-y=5 #?

Question

2108 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-13T03:47:14

The solution for the system of equations is
#color(blue)(x=-4,y=-9#

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

#x-y=5#.........equation #(2)#

Solving by substitution.

Substituting equation #1# in equation #2#

#x-y=5#

#x-color(blue)((2x-1)=5#

#x-2x +1=5#

#-x +1=5#

#-x =5-1#

#-x =4#

#color(blue)(x =-4#

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

#color(blue)(y=2x-1#

#y=2*(-4)-1#

#y=-8-1#

#color(blue)(y=-9#