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To solve for x and y in the equation 9x/y = x + 2y, we can rearrange the equation to isolate one variable and then substitute back in to solve for the other variable.

Starting with the equation: 9x/y = x + 2y

Multiply both sides by y: 9x = xy + 2y^2

Rearrange the equation: 9x = x(y + 2y)

Factor out x: 9x = x(3y)

Divide both sides by x: 9 = 3y

Divide by 3: y = 3

Now substitute y back into the original equation to solve for x: 9x/3 = x + 2(3) 3x = x + 6 2x = 6 x = 3

Therefore, the solution to the equation is x = 3 and y = 3.