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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.

Guest Sep 1, 2017
 #1
avatar+87301 
+1

 

We need to know something about the relationship between the larger and the smaller

 

 

 

cool cool cool

CPhill  Sep 1, 2017
 #2
avatar+541 
+2

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.

helperid1839321  Sep 1, 2017
 #3
avatar+7155 
+2

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  .

hectictar  Sep 1, 2017

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