SOLUTION: I tried solving this system, I am not getting it. Using the addition method, solve then state if it is independent, inconsistent, dependent. show steps so I can see what I did wro

Question 178688: I tried solving this system, I am not getting it.
Using the addition method, solve then state if it is independent, inconsistent, dependent. show steps so I can see what I did wrong.
-3x + y =3
2x - 3y =5
and
5x - 3y = -20
3x + 2y = 7

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Using the addition method, solve then state if it is independent, inconsistent, dependent. show steps so I can see what I did wrong.
-3x + y =3
2x - 3y =5
----------------
Modify :
-9x + 3y = 9
2x - 3y = 5
----------------------
Add to get:
-7x = 14
x = -2
--------------
Substitute to solve for "Y":
2*-2 - 3y = 5
-3y = 9
y = -3
------------
Sincle point solution so independent
======================================================

5x - 3y = -20
3x + 2y = 7
-----
Modify to get:
10x - 6y = -40
9x + 6y = 21
-------------------
Add to solve for "x":
19x = -19
x = -19/19 = -1
---------
Substitute to solve for "y":
3*-1 + 2y = 7
2y = 10
y = 5
---------------
One point solution so independent.
======================================
Cheers,
Stan H.

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