The sum of three times a number and a second number will total 12 or greater. The sum of three times the first number and twice the second number is less than or equal to 15. Find the two numbers.
A. first number = 2 and second number = -1
B. first number = 3 and second number = 2
C. first number = 5 and second number = 1
D. first number = 4 and second number = 1

Question

The sum of three times a number and a second number will total 12 or greater. The sum of three times the first number and twice the second number is less than or equal to 15. Find the two numbers.
	A.	first number = 2 and second number = -1
	B.	first number = 3 and second number = 2
	C.	first number = 5 and second number = 1
	D.	first number = 4 and second number = 1

hexagon001 · Answer

let x be the first number and y be the second number.
so 
3x+y≥12

and 
$$3x+2y \le15 $$

now it is just a case of solving the equations simultaneously

anonymous · Answer

i really dont know D: @hexagon001

hexagon001 · Answer

do you get what has been done so far?

anonymous · Answer

am i supposed to divide 3 on both sides @hexagon001

hexagon001 · Answer

subtract the second eqaution from the first... what do you get?

anonymous · Answer

i think its b.. @hexagon001

hexagon001 · Answer

yup you are right.
i just made a small error in my first equation..its supposed to read 3y..
but nonetheless you are correct

anonymous · Answer

thanks :) @hexagon001