SOLUTION: The difference between two numbers is 4. Two times the smaller number minus four times the larger number is -28. What are the numbers?

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Question 249598: The difference between two numbers is 4. Two times the smaller number minus four times the larger number is -28. What are the numbers?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X-Y=4 OR X=Y+4
2X-4Y=-28
REPLACE X WITH (Y+4) & SOLVE FOR Y.
2(Y+4)-4Y=-28
2Y+8-4Y=-28
-2Y=-28-8
-2Y=-36
Y=-36/-2
Y=18 ANS FOR THE SMALLER NUMBER.
X-18=4
X=4=18
X=22 ANS FOR THE LARGER NUMBER.
PROOF:
2*22-4*18=-28
44-72=-28
-28=-28