HMMT November 2017 U10

Compute $\frac{x}{w}$ if $w \neq 0$ and $\frac{x+6 y-3 z}{-3 x+4 w}=\frac{-2 y+z}{x-w}=\frac{2}{3}$ .

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

\frac{2}{3}

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.