How do you solve the system of equations: y = 2x ; x + 2y = 8?

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Answer 1 · 2015-08-08T06:53:16

The solution for the system of equations is
#color(blue)(x=8/5, y=16/5#

#y=color(blue)(2x#......equation #(1)#
#x+2y=8#....equation #(2)#

Solving by substitution , substituting equation #1# in equation #2#

#x+2y=8#

#x+2 * color(blue)(2x)=8#

#x+4x=8#

#5x=8#
#color(blue)(x=8/5#

Substituting the value of #x# in equation #1# to find #y#
#y=2x#

#y=2* (8/5)#

#color(blue)(y=16/5#