What is the solution to the system of equations #y = 2x-1# and #y = -x + 5#?

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Answer 1 · 2016-01-01T10:55:39

#x=2, y=3#

By elimination:

#y=2x-1#

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

#y=-x+5#

#x+y=5# ---#(2)#

#(1)+(2):#

#2x-y+x+y=1+5#

#3x=6#

#x=2#

Subsitute #x=2# into #(2)#:

#2+y=5#

#y=3#