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

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Answer 1 · 2016-03-10T15:37:55

The solution for the system of equations is:
#color(blue)(x =3#

#color(blue)(y=1#

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

#color(blue)(x)+2y=5#.........equation #(2)#

Solving by elimination
Subtracting equation #(2)# from #(1)#

#cancelcolor(blue)(x) -y =2#
#-cancelcolor(blue)(x)-2y=-5#

#-3y =-3#

#y=(-3)/-3#

#color(blue)(y=1#

Finding #x# from equation #1#:
#x -y =2#

#x =2 + y#

#x =2 + 1#

#color(blue)(x =3#