The difference between two numbers is 4. Twice the greater number is equal to 3 times the lesser number increased by 2 find the numbers

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.

Then, substitute 2 for y.

x - 2 = 4

x = 6

Hope it helps :)

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