Solve the System Using a Matrix: -2x - 3y = -26, 3x + 4y = 36

Learn how to solve a system of linear equations using an augmented matrix and row operations to find the ordered pair (x, y).

Answer

To solve the system of equations using a matrix:

Write the system as an augmented matrix:

Perform row operations to reach reduced row echelon form (RREF):
Multiply the first row by :

Subtract 3 times the first row from the second row (

Multiply the second row by

Subtract

times the second row from the first row (

The solution is

and

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Solve the System Using a Matrix: -2x - 3y = -26, 3x + 4y = 36

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