4x - 3y + 3z = 0

3x - 2y = 0

2x-y + 4z = 0

Find the most general solution you can.

Have to use matrices

so i did this

{1 -3/4 3/4 }

{1 -2/3 0 }

{1 -1/2 2 }

my final was

{1 -3/4 3/4}

{0 1 -9}

{0 0 14}

I allowed z = t

then y = 9t

and x = 6t

when i sub these values in to equation it doesn't satisfy the last equation. Can someone please help