Question #02b23

1 Answer
Mar 29, 2017

(x,y)=(-4/3,2/3)

Explanation:

I've no idea what the leading (-3,1) means.

Since this was asked under the heading "Systems Using Substitution", I will demonstrate how to solve the given two equations (using substitution.

Given
[1]color(white)("XXX")x-y=-2
[2]color(white)("XXX")x+5y=2

Rewriting [1] as a definition in terms of x
[3]color(white)("XXX")x=y-2

We can now substitute y-2 for x in equation [2]
[4]color(white)("XXX")(y-2) +5y=2

rarr[5]color(white)("XXX")6y=4

rarr[6]color(white)("XXX")y=2/3

Now substitute 2/3 for y in [1]
[7]color(white)("XXX")x-2/3=-2

rarr[8]color(white)("XXX")x=-6/3+2/3=-4/3