Math Help - Need help with word problem...

I only need the required system of equation... no need to solve.

In a basketball game the top scoring player made a total of 35 points. The number of free throws (each worth one point) he/she made was twice the number of three-point field goals. The number of two-point field goals were four more than twice the number of the three-point field goals. Assuming x the number of three=point field goals, y the number of two-point field goals and z the number of one point free throws, set up the equations to describe the problem.

Thank you.

3x+2y+z=35 and z=2x and y=2x+4 thats all..

Thank you and thanks for the fast reply!