How do you solve # y = -3x + 6# and #3x-y = 6#?

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Answer 1 · 2015-08-04T05:41:07

The solution for the system of equations is
#color(blue)(x=2,y=0#

#y=color(blue)(−3x+6#.....equation #(1)#

#3x−y=6#.........equation #(2)#

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

#3x−y=6#

#3x-color(blue)((−3x+6))=6#

#3x + 3x -6=6#

#6x =6+6#

#color(blue)(x=2#

Substituting #x# in equation #1# to find #y#
#y=−3x+6#

#y=−3*2+6#

#y=−6+6#

#color(blue)(y=0#