A+b+c=31 2a+3b+4c=105 who's a,b,c
1 answer:
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Answer:
(5,4) and (3,4)
Step-by-step explanation:
A line segment has 2 end points which can be denoted as:
and
When this line segment intersects at y.
This means that the coordinate on the y axis is the same at both end points
i.e.
and
becomes
and
x1 and x2 can be any value but the y value must remain unchanged
Using the above analysis, a possible coordinate is:
and
Note that there are as many answers as possible as long as the coordinate pair satisfy is of the form <em> and </em>
<em />
Take for instance, another possible pair is:
and
Proof by contadiction.
Let assume there exist such positive integers and
whose sum is a prime number
, that their greatest common divisor is greater than 1.
Since is a prime number and
, then
, but we assumed earlier that
, and there are no two positive integers that sum up to 1.
q.e.d.