Can someone help me with this algebra word problem?

Question

In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 3. Altogether, they hit 9 home runs. How many home runs did each player hit that season? Let h represent Alice’s home runs.

Answer 1

h= Alice's home runs. P=2(h-3) = Peter's home runs

P+h= 9

h=9-P

substitute into the 1st equation

P=2(9-P-3) = 12-2P

3P = 12

P = 12/3 = 4

h=9-P= 9-4 = 5

Peter hit 4, Alice hit 5

together that's 9

Peter hit twice the difference of Alice's runs and 9

P=2(h-3)

4 = 2(5-3)= 2(2) = 4