How do you solve #3x-y= -4# and #3x-y=0#?

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Answer 1 · 2015-08-05T20:43:04

There is no solution.

We can try the method of elimination.

Your equations are

[1] #3x-y=4#
[2] #3x-y=0#

Subtract Equation 2 from Equation 1.

#0=4#

This is impossible, so there is no solution.

We can see why there is no solution if we plot the two graphs:

[1] #y=3x-4#
[2] #y=3x#

Graph

The graphs are parallel and do not intersect. Hence there can be no solution.