Solving Simultaneous Equations: Tips and Help for Difficult Problems

[CathyLou]

Hi.

I'm working through a Statistics question and have reached two simultaneous equations that I just can't seem to sove. Could someone please help? I'd really appreciate it.

The two equations are:

1.65 - x = -0.5244y

and

1.78 - x = 0.8416y

Thank you.

Cathy

 

[CathyLou]

Oh, by the way, I have the solutions (x = 1.70 and y = 0.095) but I just don't know the method to obtain them.

Thank you.

Cathy

 

[mado]

1-u can simply make equation one -equation 2

so x is removed &u'll have equation in y only so u can get Y value



2-or also,u can get x in terms of y,like 1.65 +0.5244y = x

then replace x in 2nd equation with this new X

got it?

 

[neutrino]

To find the value of one variable, you need to eliminate the other. Do you know how to do that?

 

[CathyLou]

To find the value of one variable, you need to eliminate the other. Do you know how to do that?

Could you please show me as I tried this and did not get the correct answers?

Thanks for replying.

Cathy

 

[neutrino]

One way of doing it, as mado suggested, would be to subtract one equation from the other.

 

[malawi_glenn]

Could you please show me as I tried this and did not get the correct answers?

Thanks for replying.

Cathy

Can you show us what you did?

 

[CathyLou]

I've got it now.

Thanks for your help!