Question

3z + x = -4
y + 5z = 1
6x + 2z = 3
-x -y -z = 4
will the above form a linear system?

Answer 1

Are you asking if the system is consistent?

Answer 2

The answer is no, the system is inconsistent. You can show this with row reduction.

Answer 3

yes you can get a linear equation from the above equations.Put the values of x and y in the last equation and you will get the value of z which equals to1/7 and then y=2/7 while the value of x=-31/7.

Answer 4

This is wrong, substitute into 6x+2z=3 you will see it doesnt work.

Answer 5

\[6\frac{-31}{7}+2\frac{1}{7} =-\frac{184}{7} \]