`x + 2y - 7z = -4, 2x + y + z = 13, 3x + 9y - 36z = -33` Solve the system of linear equations and check any solutions algebraically.

You need to multiply the first equation by -2:

`-2x - 4y + 14z = 8`

You need to add this equation to the second:

`-3y + 15z = 21 => -y + 5z = 7`

You need to multiply the first equation by -3:

`-3x - 6y + 21z = 12`

You need to add this equation to the third:

`3y - 15z = -21 => -3y + 15z = 21`

Since you have obtained equivalent equations, the lines represented by the equations of the system are parallel, hence, they do not intercept each other. The system is inconsistent and it has no solution.