# Help with a simultaneous equation!

1. Aug 24, 2011

### Peter G.

Hi guys,

I was trying to solve this:

1220.5/(1+Le(-4M))=830.7
1220.5/(1+Le(-M))=609

These were my answers: L = 1.293916796 M = 0.253577206

I tried to get a math software to solve them so I could check my answer but I just couldn't... Can anyone check whether they get the same answers as I do?

Thanks,
Peter G.

2. Aug 24, 2011

### Staff: Mentor

You should be able to check them using just a calculator. It might be helpful to rearrange your equations a little, though, and storing one or both of your values for L and M in the memory would be helpful.

830.7(1+Le-4M)= 1220.5
609(1+Le-M) = 1220.5

Just calculate the values of the expressions on the left sides, above. You should get 1220.5 or something close to it.

3. Aug 24, 2011

### Ray Vickson

What is stopping you from substituting your L and M values into the equations to check if they work?

Anyway, in this case you could set L*exp(-M) = x and exp(-3M) = y. The second equation reads as 1220.5 = 609*(1+x), so you can get x. The second reads as 1220.5=830.7*(1+x*y), so knowing x you can get y. Now you can get M and L.

RGV