SOLUTION: i need to solve this system using an augmented matrix and i don't know how colud someone please help me. 5x+2y=2 3x-y=-12

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Question 108090: i need to solve this system using an augmented matrix and i don't know how colud someone please help me.
5x+2y=2
3x-y=-12

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
AN AUGMENTED MATRIX IS A STANDARD MATRIX WITH THE NUMERIC VALUES ADDED THUS
5,2
3-1
BECOMES:
5,2,2
3,-1,-12 NOW MULTIPLY THE SECOND ENTRY BY 2 & ADD THE 2 ROWS
5,2,2
6,-2,-24
----------------
11,0,-22 OR
11X=-22
X=-22/11
X=-2 ANSWER.
5*-2+2Y=2
-10+2Y=2
2Y=2+10
2Y=12
Y=12/2
Y=6 ANSWER.
PROOF
3*-2-6=-12
-6-6=-12
-12=-12



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