Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations x-y+4z=23 2x-y+z=-1 6x+4y+2y=-44

I assume the third equation is supposed to be . We can divide both sides by 2 right away to simplify it a bit, .

To start, the system in augmented-matrix form is

Subtract 2 times row 1 from row 2, and 3 times row 1 from row 3:

Subtract 5 times row 2 from row 3:

Multiply row 3 by 1/24:

Add 7 times row 3 to row 2:

Add row 2 and -4 times row 3 to row 1:

Then the solution to the system is

rx and sx

step-by-step explanation:

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