How do you solve #7x - y = 26# and #x + y = 6# using substitution?

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Answer 1 · 2016-05-11T04:59:57

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

#color(green)(y=2#

#7x - y = 26#.........equation #(1)#

#x + y = 6#,
#color(blue)(y = 6 - x#..............equation #(2)#

Solving by substitution :

Substituting equation #2# in equation #1#:

#7x - y = 26#

#7x - color(blue)((6 - x))= 26#

#7x - 6 + x= 26#

#7x + x= 26 + 6#

#8x= 32#

#x= 32/8#

#color(green)(x= 4#

Finding #y# from equation #2#
#color(blue)(y = 6 - x#

#y = 6 - 4#

#color(green)(y=2#

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

#color(green)(y=2#