What are x and y if -3x+y=6 and 6x-2y=25??

1 Answer
Alan P.
Oct 24, 2015

It is impossible for both
color(white)("XXX")-3x+y=6
and
color(white)("XXX")6x-2y=25
for any pair of values (x,y)

Explanation:

Given
[1]color(white)("XXX")-3x+y=6
and
[2]color(white)("XXX")6x-2y=25

If we multiply [1] by (-2), we get
[3]color(white)("XXX")6x-2y = -12

Comparing [2] and [3], we have
color(white)("XXX")25 = -12 (Impossible)

The given equations represent two parallel lines (they have no points in common).

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