How do you solve the following system of equations?: #2x + 15y = -4 , -2x +3y=12#?

1 Answer
Mar 5, 2016

Answer:

The solution for the system of equations is:
#color(green)(x =-16/3#

#color(green)(y=4/9#

Explanation:

#color(blue)(2x) +15y=-4#........equation #(1)#

#color(blue)(-2x)+3y=12#...........equation #(2)#

Solving by elimination:

Adding equations #(1)# and #(2)# results in elimination of #color(blue)(2x)#

#cancelcolor(blue)(2x) +15y=-4#

#cancelcolor(blue)(-2x)+3y=12#

#18y=8#

#y=8/18#

#color(green)(y=4/9#

Finding #x# from equation #(1)#:
#2x +15y=-4#

#2x =-4-15y#

#2x =-4-15 xx 4/9#

#2x =-4-60/9#

#2x =-36/9-60/9#

#2x =-96/9#

#x =-96/18#

#color(green)(x =-16/3#