use matrices and elementary row to solve the following system:
5x - 3x + 2x =13
2x - y - 3z =1
4x - 2y + 4z =12

I assume the first equation is supposed to be

and not

As an augmented matrix, this system is given by

Multiply through row 3 by 1/2:

Add -1(row 2) to row 3:

Multiply through row 3 by 1/5:

Add -2(row 3) to row 1, and add 3(row 3) to row 2:

Add -3(row 2) to row 1:

Multiply through row 1 by -1:

Add -2(row 1) to row 2:

Multipy through row 2 by -1:

The solution to the system is then

kjgfcvbjkl

step-by-step explanation:

sdfghjkl; vbnm,