How do you solve the following system?: #-2x+12y=-20 , x-5y=15 #

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Answer 1 · 2016-04-19T05:41:18

The solution for the system of equations is:
#color(green)(x=40#
#color(green)(y= 5#

# color(green)(- 2x) + 12 y = -20#..........equation #(1)#

#x - 5y = 15#, multiplying by #2#
#color(green)(2x) - 10y = 30#....................equation #(2)#

Solving by elimination.

Adding equations #1# and #2# eliminates #2x#

#cancel color(green)(- 2x) + 12 y = -20#
#cancelcolor(green)(2x) - 10y = 30#

#2y = 10#

#y = 10/2#

#color(green)(y= 5#

Finding #x# from the second equation provided:

#color(blue)(x) - 5y = 15#

#x = 15+ 5y#

#x = 15+ 5 * color(green)(5#

#x = 15+ 25#

#color(green)(x=40#