SOLUTION: The problem is- Solve the system by using matrix elimination: 3a-2b=5 2a+7b=9 I know that its suppose to end up looking like this: 1 0 a 0 1 b but I dont know how t

Question 111583: The problem is- Solve the system by using matrix elimination:
3a-2b=5
2a+7b=9
I know that its suppose to end up looking like this:
1 0 a
0 1 b
but I dont know how to solve this because of the 3a and the 2a.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Write the coefficients and the right side constants in an augmented matrix:

Multiply Row 1 by to make the pivot 1:

Add -2*Row 1 to Row 2 to get the new Row 2

Multiply Row 2 by to make the pivot 1:

Add 2/3*Row 2 to Row 1 to get the new row 1

The matrix is now in reduced row echelon form

If you need more help with row reduction, check out the Linear Algebra Toolkit

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