How do you solve #6x-3y=4, -12x+6y=8# using the elimination method?

1 Answer
Oct 24, 2016

Answer:

No solution is possible for this pair of equations.

Explanation:

Given
[1]#color(white)("XXX")6x-3y=4#
[2]#color(white)("XXX")-12x+6y=8#

If we multiply equation [1] by #2#
so as to be able to eliminate the #x# term from equation [2]
[3]#color(white)("XXX")12x-6y=8#
then add equations [2] and [3]
[4]#color(white)("XXX")0=16#
...an obviously impossible result.

The problem is that the given equations represent a pair of parallel lines which do not intersect and therefore have no solution point.