Given a system of equations:
$x+2y+2z={b}_{1}$
$5x+y+3z={b}_{2}$
Which of the following is true regarding its solutions
The equation $\left[\begin{array}{cc}2& -2\\ 1& -1\end{array}\right]\left[\begin{array}{c}{x}_{1}\\ {x}_{2}\end{array}\right]=\left[\begin{array}{c}0\\ 0\end{array}\right]$ has
For the set of equations
x_{1} + 2x_{2} + x_{3} + 4x_{4} =2
3x_{1} + 6x_{2} + 3x_{2}+ 12x_{4} = 6.
The following statement is true