One number is 4 less than 3 times a second number. if 3 more than two times the first number is decreasedt "two times the second"

The 1st number is x and the 2nd number is y:
x = 3y-43 + 2x - 2y = 11
The first equation says that x is equal to "3y - 4", so you can plug in "3y - 4" for x in the second equation:
3 + 2(3y - 4) - 2y = 113 + 6y - 8 - 2y = 11-5 + 4y = 114y = 16y = 4
Now that you have y, you can plug it into the 1st equation to get x:
x = 3y - 4x = 3(4) - 4x = 12 - 4x = 8
So, the 1st number is 8 and the 2nd number is 4.