Answer: x = 6, y = 2, (6,2)
Step-by-step explanation:
Let number 1 be "x."
Let number 2 be "y."
The difference between two numbers is 4. --> x - y = 4
Twice the greater number is equal to 3 times the lesser number increased by 2 --> 2x = 3y + 2
This problem can then be solved just like any other system of equations. I will use the elimination method. Let me know if you prefer substitution.
[tex]2x - 3y = 2\\2x - 2y = 4\\0 - y = -2\\y = 2[/tex]
Then, substitute 2 for y.
x - 2 = 4
x = 6
Hope it helps :)
