SOLUTION: Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. {5x+2y=2 4x+6y=28

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Question 1068286: Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.
{5x+2y=2 4x+6y=28

Found 2 solutions by Fombitz, Edwin McCravy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

Multiply row 1 by -3

Replace row 1 with the sum of row 1 and row 2,

So then,


and





Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!



Convert to an augmented matrix

   

Use row operation (1/2)R2->R2



   

Use row operation -2R1+5R2->R2



   

Use row operation (1/11)R2->R2



     

Use row operation -2R2+R1->R1




   

Use row operation (1/5)R1->R1



   

Then converting the augmented matrix to a 
system of equations:



or







Edwin

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