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# Four time the smaller plus three less than twice the larger is 71

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Four time the smaller plus three less than twice the larger is 71

Worked on it for 30 minutes and I cant figure it out.

Sep 1, 2017

#1
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We need to know something about the relationship between the larger and the smaller   Sep 1, 2017
#2
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Here is what I have:

I assigned x to be the smaller and y to be the larger

4x + 2y - 3 = 71

4x + 2y = 74 (Add 3 to both sides)

2x + y = 37 (Divide each side by 2)

Like CPhill said, we need some more info about the relationship between the 2 numbers to get any further.

Sep 1, 2017
#3
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Continuing what helperid has...

We know that

2x + y  =  37

And we know that

x < y

If x = y, then....

2x + x = 37

3x  =  37

x  =  37/3

And we know that   x  must be less than the value that makes it equal y .

So...  x must be less than  37/3  .

So....there are infinitely many solutions that lie on the line  2x + y = 37  where  x < 37/3  .

All the coordinates on the blue line that are in the red region of this graph will be solutions.

For example....   x = 11  and  y = 15  ,  or   x = 6  and  y = 25  .

Sep 1, 2017