2x2 system of linear equations

Hello guys,

I need to construct family of linear equations that are similar to this one:

$\displaystyle \begin{array}{rcl}x+2y & = & 4 \\ 5x-y & = & \frac{1}{5}\end{array}$

It was suggested that it should be done by drawing conclusion from relation between coefficients.

Any hint is appreciated!

Thanks

Re: 2x2 system of linear equations

Quote:

Originally Posted by

**losm1** Hello guys,

I need to construct family of linear equations that are similar to this one:

$\displaystyle \begin{array}{rcl}x+2y & = & 4 \\ 5x-y & = & \frac{1}{5}\end{array}$

It was suggested that it should be done by drawing conclusion from relation between coefficients.

Any hint is appreciated!

Thanks

Is this part of an IB Portfolio task?

Re: 2x2 system of linear equations

Nope - to be honest, I don't know what is IB portfolio. It is a section from project in linear algebra class.

I am having trouble with finding some meaningful relation between coefficients.