How do you solve this system of equations: #2x - 3= y and y - 2x = - 5#?

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Answer 1 · 2017-10-06T23:14:31

No solution

Change the second equation so that it is set equal to #y#:

#y-2x=-5->y=2x-5#

Then set the two equations equal to each other (equal values method):

#2x-3=y=2x-5#

#2x-3=2x-5#

Subtract 2x on both sides:

#-3=-5#

This is a false statement, so there is no solution.

These two equations have no points in common, it can be shown visually as two parallel lines that never intersect:

enter image source here

Answer 2 · 2017-10-07T01:59:32

There is no solution. They are parallel lines.

#2x - y = 3#
#−2x + y = −5# Add the two equations.
#0 = -2# NO SOLUTION