How do you solve the simultaneous equations #y - 3x = 2# and #3x + 2y = -14#?

1 Answer
Jul 27, 2015

Answer:

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

Explanation:

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

#3x+2y=−14#.....equation #(2)#

Solving by substitution
Substituting equation #1# in equation #2#

#3x+2y=−14#

#3x+2(color(blue)(2+3x))=−14#

#3x+4+6x=−14#

#9x=−14-4#

#9x=-18#
#color(blue)(x=-2#

Substituting #x# in equation #1# to find #y#
#y=2+3x#
#y=2+3(-2)#
#y=2-6#
#color(blue)(y=-4#