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

Algebra ->  Matrices-and-determiminant -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
%28matrix%282%2C3%2C5%2C2%2C2%2C4%2C6%2C28%29%29
Multiply row 1 by -3
%28matrix%282%2C3%2C-15%2C-6%2C-6%2C4%2C6%2C28%29%29
Replace row 1 with the sum of row 1 and row 2,
%28matrix%282%2C3%2C-11%2C0%2C22%2C4%2C6%2C28%29%29
So then,
-11x=22
x=-2
and
4%28-2%29%2B6y=28
-8%2B6y=28
6y=36
y=6

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



Convert to an augmented matrix

   

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

matrix%282%2C1%2C%22%22%2C%221%2F2%22%29

   

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

matrix%282%2C1%2C-2%2C%22%22+%2B+5%29

   

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

matrix%282%2C1%2C%22%22%2C%221%2F11%22%29

     

Use row operation -2R2+R1->R1


matrix%282%2C1%2C%22%22+%2B+1%2C-2%29

   

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

matrix%282%2C1%2C%221%2F5%22%2C%22%22%29

   

Then converting the augmented matrix to a 
system of equations:



or





system%28x=-2%2Cy=6%29

Edwin