How do you solve the system of equations: x + y = 6, and y = 2x?

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Answer 1 · 2015-08-08T06:41:30

The solution for the system of equations is
#color(green)(x=2, y=4#

#x+y = 6#.....equation #(1)#

#y=color(green)(2x#..........equation #(2)#

Solving through substitution
Substituting equation #(2) # in #(1)#:

#x+y = 6#

#x +color(green)(2x) =6#

#3x=6#
#color(green)(x=2#

Now substituting #x# in equation #2# to find #y#

#y=2x#
#y=2*2#
#color(green)(y=4#