How do you solve the system of equations #2x - 3y = 9# and #10x - 15y = 11#?

1 Answer
Alan P.
Mar 8, 2017

No solution is possible.
(graphically the 2 equations represent parallel lines with no point in common)

Explanation:

Note

#{: (2x-3y=9,color(white)("XXX") rarr color(white)("XXX"),x-3/2y=9/2), (10x-15y=11,color(white)("XXX") rarr color(white)("XXX"),x-3/2y=11/10) :}#

Since #9/2 != 11/10# the two equations can not be simultaneously true.

Here is a graph with these two relations:
enter image source here

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