How do you solve using elimination of #x-y=-3# and #5x+3y=1#?

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Answer 1 · 2018-03-28T12:34:01

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

#color(blue)(y=2)#

#x-y=-3\ \ \ \ \ [1]#

#5x+3y=1\ \ \ \ \ \\ \ [2]#

Multiply #[1]# by 5:

#5x-5y=-15\ \ \ \ \ [3]#

Subtract #[2]# from #[3]#:

#5x-5y=-15#

#5x+3y=1#

#0-8y=-16#

Divide by #-8#

#y=(-16)/-8=2#

Substitute this is #[1]#

#x-(2)=-3#

Add 2 to both sides:

#x=-1#

Solution:

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

#color(blue)(y=2)#