SOLUTION: One positive number is 6 more than twice another. If their product is 308, find the numbers.
Small number?
Large number?
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Question 927537: One positive number is 6 more than twice another. If their product is 308, find the numbers.
Small number?
Large number?
Answer by Techpriest(29) (Show Source): You can put this solution on YOUR website!
In order to find the small number and large number, we must express it as an algebraic expression.
One positive number is 6 more than twice another of a number can be expressed as:
If their product is 308:
Through the expression shown above we can substitute y from the first equation to the second equation.
Distributive Property of Multiplication
Reorder terms in order.
Division Property of Equality
Simplify
Subtraction Property of Equality
Factor
Zero Property
So, x = 11 or -14.
In order to find y, we substitute the x-value in the first equation for ALL solutions.
AND
So, y = 28 or -22.
So, a solution of {11,28} or {-14,-22} can be plotted on a graph.
HOWEVER, the problem tells you that y is a positive number.
Since {11, 28} is positive. The small number assuming that it is x will be 11 and the large number assuming that it is y will be 28.
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