How do you solve the following system?: #3x +2y = 7 , -2x - 2y = -4#

1 Answer
Mar 14, 2016

Answer:

The solution for the system of equations is:

#color(green)(x=3#
#color(green)(y=-1#

Explanation:

#3x+color(blue)(2y)=7#.................equation #(1)#
#-2x -color(blue)(2y) =-4#.......equation #(2)#

Solving by elimination

Adding equations #(1) # and #(2)# eliminates #color(blue)(2y)#

#3x+cancelcolor(blue)(2y)=7#
#-2x -cancelcolor(blue)(2y) =-4#

#color(green)(x=3#

Finding #y# by substituting the value of #x# in equation #1:#

#3x+2y=7#

#2y=7-3x#

#2y=7-3 * color(green)(3#

#2y=7-9#

#2y=-2#

#y=-2/2#

#color(green)(y=-1#