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

Algebra ->  Systems-of-equations -> SOLUTION: Solve the problem. The difference between two numbers is 4. Two times the smaller number minus four times the larger is -28. What are the numbers?      Log On


   

Question 170335This question is from textbook Introductory Algebra
: Solve the problem. The difference between two numbers is 4. Two times the smaller number minus four times the larger is -28. What are the numbers? This question is from textbook Introductory Algebra

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X-Y=4 OR X=4+Y
2Y-4X=-28
2Y-4(4+Y)=-28
2Y-16-4Y=-28
-2Y=-28+16
-2Y=-12
Y=-12/-2
Y=6 ANS.
X-6=4
X=4+6
X=10 ANS.
PROOF:
2*6-4*10=-28
12-40=-28
-28=-28