To solve the system of equations:
We need to choose two sets of two equations and eliminate the same variable from those to get a 2 by 2 system that we can solve. If we choose the first and second equation and multiply the first one by -6 we get:
Now we add the equation to get:
Now we choose the second and third equation and change the sign of the second equations, then we get:
Adding them we have:
Now we have the system:
To solve it we mutiply the first equation by 7 and the second one by -13, then we have:
Adding this equation we have:
Now that we have the value of x we plug it in the second equation for the 2 by 2 system to get y:
Finally to find z we plug the value of x and y in the first equation of the original 3 by 3 system, then:
Therefore the solution of the system is: