How do you solve the system of equations #6x - 3y = 3# and #4x - 2y = 2#?

1 Answer
Sean L.
Oct 19, 2017

All solutions that satisfy one equation, satisfy the other.

Explanation:

Firstly, before any major calculation can take place, check that the equations are not parallel.

This can be done by transposing both equations to have the same subject.

#6x-3y=3#
#-3y=3-6x#
#y=2x-1#

#4x-2y=2#
#-2y=2-4x#
#y=2x-1#

Since both equations are, in fact, the same equation, all solutions that satisfy one will satisfy the other

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