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

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Answer 1 · 2018-03-31T04:12:54

x= 23/8
y=13/8

We can just make one of the linear equations in terms of the x and y and then substiute it into the other equation.

#x-3y=-2#

If we rearrange for x we get
#x=-2+3y#

Then we can substitute this into

#3x-y=7#

#3(-2+3y)-y=7#

#-6+9y-y=7#

#8y=13#

#y=13/8#

Substitute this into equation one to figure out x

#x=-2+3(13/8)#
#x=23/8#