Given
[1]color(white)("XXX")3x-2y=8
[2]color(white)("XXX")2x-3y=-6
Multiplying [1] by 3 and [2] by 2
[3]=[1]xx3color(white)("XXX")9x-6y=color(white)("XX")24
[4]=[2]xx2color(white)("XXX")underline(4x-6y=-12)
Subtracting [4] from [5]
[6]=[5]-[4]color(white)("XXX")5x=36
Dividing both sides by 5
[7]=[6]div5color(white)("XXX")x=7.2
Substituting 7.2 for x in [1]
[8]color(white)("XXXXXX")3(7.2)-2y=8
Simplifying
[9]color(white)("XXXXXX")21.6-2y=8
[10]color(white)("XXXXXX")2y=13.6
[11]color(white)("XXXXXX")y=6.8
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For verification purposes substitute (x,y)=(7.2,6.8) into [2]
color(white)("XXXXXXX")2x-3y
color(white)("XXXXXXXXXX")=2(7.2)-3(6.8)
color(white)("XXXXXXXXXX")=14.2-20.4
color(white)("XXXXXXXXXX")=-6color(white)("XXX")as given.
