Given that \(\frac{6x-y}{x+2y}=2\), find the value of \(\frac{x}{y}\)
Simplify \(\frac{1}{x-3}-\frac{3(x-1)}{x^2 - 9}\)
Find the value of x such that the expression \(\frac{1}{x}+\frac{4}{3x}-\frac{5}{6x}+1\) equals zero
Simplify \(\frac{4}{a-3}-\frac{1}{a+2}\)
Simplify \(\frac{x^2 - y^2}{2x^2 + xy - y^2}\)