2x 5y 3z 26 3x 2y z 6 x 3y 4z 2Solution2x 5y 3z 26 3x

2x 5y + 3z = 26

3x + 2y z = 6

x 3y 4z = 2

2x 5y + 3z = 26

3x + 2y z = 6

x 3y 4z = 2

Solve by Gaussian elemination:

Swap Row 1 and Row 3.After this step we have:

x 3y 4z = 2

3x + 2y z = 6

2x 5y + 3z = 26

Multiply first equation by 3 and add the result to the second equation.

x 3y 4z = 2

11y -11z = -39

2x 5y + 3z = 26

Multiply first equation by 2 and add the result to the third equation.

x 3y 4z = 2

11y -11z = -39

y +11z = -56

Multiply second equation by 1 and add the result to the third equation

x 3y 4z = 2

11y -11z = -39

-10y = -17

y = 17/10

11z +11z = -39

solve for z = -577/110

solve for x = -97/110