|
Question 178669: Solve by substitution, which one is it, independent, inconsistent, or dependent. Please show how it is solved. Thank you.
x-y = 3
3x - 2y = 3
and
2x -y = 3
6x - 9 = 3y
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Solve by substitution, which one is it, independent, inconsistent, or dependent. Please show how it is solved. Thank you.
x-y = 3
3x - 2y = 3
------------------
x = y+3
Substitute to get:
3(y+3) - 2y = 3
3y + 9 -2y = 3
y = -6
------------------
Then x = y+3 = -6+3 = -3
----
Since there is a single solution the system is independent.
=======================================================================
and
2x -y = 3
6x - 9 = 3y
--------
y = 2x-3
Substitute to get:
6x -9 = 3(2x-3)
6x -9 = 6x - 9
This is always true so the system is dependent
====================================================
Cheers,
Stan H.
|
|
|
| |
