How do you solve the following system: #9x - 3y = -30, -5x + 3y= 6 #?

1 Answer
Dec 23, 2015

Answer:

The solution for the system of equations is

#color(blue)(x=-6,y=-8#

Explanation:

#9xcolor(blue)(-3y)=-30#.....equation #(1)#

#-5x+color( blue)(3y)=6#.........equation #(2)#

Solving by elimination.

Adding the two equations results in elimination of #color(blue)(3y#

#9x cancelcolor(blue)(-3y)=-30#

#-5x+cancelcolor( blue)(3y)=6#

#4x=-24#

#x=-24/4#

#color(blue)(x=-6#

Finding #y# by substituting #x# in equation #1#

#9x-3y=-30#

#9 xx (-6)-3y=-30#

#-54-3y=-30#

#-24 = 3y#

# y = (-24)/3#

#color(blue)(y=-8#