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**+1 **

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

CPhill
Sep 1, 2017

#2**+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**+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