How do solve the following linear system?: # 4 x+ 6y = 2 , -2x -8y = 4 #?

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Answer 1 · 2016-02-24T15:22:21

The solution is:

#color(blue)(x=2#
#color(blue)(y=-1#

#color(blue)(4x) +6y=2#.........equation #1#

#-2x -8y=4#, multiplying by #2#
#color(blue)(-4x) -16y=8#.....equation #2#

Solving by elimination:
#cancelcolor(blue)(4x) +6y=2#
#cancelcolor(blue)(-4x) -16y=8#

#-10y =10#

#y= 10/(-10)#

#color(blue)(y=-1#

Finding #x# from equation #1#:
#4x +6y=2#

#4x +6 xx -1=2#

#4x -6=2#

#4x =2+6#

#4x =8#

#x =8/4#

#color(blue)(x=2#