one number is two more than a second number. twice the first is 4 less than 3 times the second. Find the numbers

The first number is equal to 10. The second number is equal to 8.

x = 2 + y

2x = 3y - 4

Because we have a value of x, we can plug it into the second equation to solve for y.

2 (2 + y) = 3y - 4

4 + 2y = 3y - 4

Subtract 2y from both sides.

4 = y - 4

Add 4 to both sides.

8 = y

We can plug this into the original equation to solve for x.

x = 2 + 8

x = 10