SOLUTION: Please need your help and solution on this problem, <s>quadratic</s> problem. A number is one less than twice another number. The product of the two numbers is thrice the larger

Question 984053: Please need your help and solution on this problem, ~~quadratic~~ problem.
A number is one less than twice another number. The product of the two numbers is thrice the larger number. Let y represents the smaller number. Which of the following equations can be used to find the two numbers?
Thank you very much in advance.
Mark
Found 2 solutions by macston, josgarithmetic:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
A number is one less than twice another number. The product of the two numbers is thrice the larger number. Let y represents the smaller number. Which of the following equations can be used to find the two numbers?
.
x and y are the two numbers
.

.
For y=1/2:

ANSWER 1: The two numbers are 0 and 1/2.
.
For y=3:

ANSWER 2: The two numbers are 5 and 3.
.
ANSWER 1 does not check, because x is not the larger number
So the only correct answer is ANSWER 2:
The two numbers are 5 and 3.

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Hard to know where y fits being the smaller.
y and some other, x.
The product description: , if y were the smaller number. This already brings very sharply how x and y are related.

First sentence: try both ways.
OR ;

Already we have a value for y, and were given .

Those values should be good, and the system was
.

Would the other equation work?

------------No. This does not work. We were given that and we do not allow .
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