
1) To solve the equation system by elimination, first, multiply the third equation by 3:

2) Add the result to the first equation:

3) Next, multiply the second equation by 11

4) Add the expressions 11x-6y=4 and -11x+44y=110

Divide both sides by 38 to determine the value of y:

5) Replace the value of y in the second equation to determine the value of x:

6) Replace the value of x in the third equation to determine the value of z:

The solution of the equation system is x=2, y=3, and z=2