X-6y+2z=5 2x-3y+z=4 3x+4y-z=-2 solve the system by elimination

,\left[x \right] = \left[ \frac{-2}{3}+\frac{\left( -4\right) \,y}{3}+\frac{z}{3}\right][x]=[​3​​−2​​+​3​​(−4)y​​+​3​​z​​]
\left[X \right] = \left[ 5+6\,y - 2\,z\right][X]=[5+6y−2z]
\left[x \right] = \left[ 2+\frac{3\,y}{2}+\frac{ - z}{2}\right][x]=[2+​2​​3y​​+​2​​−z​​]
system by elimination