How do solve the following linear system?: # 3x-2y=2 , 5x-5y=10 #?

1 Answer
EZ as pi
Aug 15, 2016

# x = -2 and y=-4#

Explanation:

The elimination method is the best option here.

# 3x-2y=2# ...................................A
# 5x-5y=10 #..................................B

Ax-5:#" "-15x+10y =-10#................................C
Bx2:#" " 10x-10 y = 20#.......................................D

C+D:#" " -5x " "= 10#
#" " x = -2#
Sub in A: #3(-2) -2y = 2#
#" " -6 -2y = 2#
#" "-6-2 = 2y#
#" "-8 = 2y#
#" " -4 = y#

Check in b:

#5(-2) -5(-4) = -10 + 20= 10#

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