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How do you solve the system using the substitution method for x-2y=3 and x+y=1?

1 Answer

Jul 30, 2015

The solution for the system of equations is
#color(blue)( x=5/3, y=-2/3#

Explanation:

#x-2y = 3#
#x= color(blue)(3+2y#.......equation #(1)#

#x+y=1#......equation #(2)#

Substituting equation #(1)# in equation #(2)#
#x+y=1#
#color(blue)(3+2y)+y=1#
#3+3y=1#

#3y=2#
#color(blue)(y=-2/3#

Substituting the value of #y# in equation #(1)# to find #x#
#x= 3+2y#
#x= 3+2(-2/3)#

#x= 3-4/3#
#color(blue)(x= 5/3#

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