How do solve the following linear system?: #-2x + 3y = -19 , x+2y =2 #?

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Answer 1 · 2016-01-13T16:04:42

The solution for the system of equations is
#color(blue)(x=44/7, y=-15/7#

#color(blue)(-2x) +3y = -19#.........equation #(1)#

#x + 2y = 2#, multiplying by #2#
#color(blue)(2x) + 4y = 4#.......................equation #(2)#

Solving by elimination

Adding equations #1# and #2#

#cancelcolor(blue)(-2x) +3y = -19#

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

#7y = -15#

#color(blue)(y = -15/7#

Finding #x # from equation #2#
#x + 2y = 2#

#x = 2- 2y#

#x = 2- 2 xx (-15/7)#

#x = 2 +30/7#

#x = 14/7 +30/7#

#color(blue)(x = 44/7#