Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.4x - 3y + z = 224x + y + 5z = 303x-y-z = 4

The augmented matrix for this system is

Subtract row 1 from row 2, and subtract 3(row 1) from 4(row 3):

Multiply row 2 by 1/4:

Subtract 5(row 2) from row 3:

Multiply row 3 by -1/12:

While this isn't exactly RREF, you can already solve the system quite easily:

We can confirm this solution by continuing with the row reduction. Subtract row 3 from row 2:

Subtract -3(row 2) and row 3 from row 1:

Finally, multiply row 1 by 1/4:

and we end up with , as before.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!