Elimination method (algebra 2) please please help

If you were to use the elimination method to solve the following system, choose the new system of equations that would result after the variable z is eliminated in the first and third equations, then the second and third equations.

x – y + 2z = –2
2x + 2y + z = 7
3x + 3y – z = 3

A.) 2x + 2y = 7
3x + 3y = 3

B.) 2x + 2y = 7
5x + 5y = 10

C.) 7x + 5y = 4
3x + 3y = 3

D.) 7x + 5y = 4
5x + 5y = 10

I know this question looks really long but I have 10 more of these problems to do and I have no idea how to do them. If you could please help me I'd really appreciate it and I will pick a best answer to give 10 points to. Thank you so much in advance!!!

for first and third, you multiple the third equation by 2 so you get
6x + 6y - 2z = 6 then add it to the first equation
7x + 5y = 4
the second one you just add second + third
5x + 5y = 10

so the answer is D :D