ib mathematics linear equations help??

[Gazelle]

I have this 2x2 linear system:
x+2y=4
5x-y=1/5

The question is: set up and solve a general 2x2 system that incorporates
the pattern found above..


I came up with the general system but I'm stuck somewhere in solving
it..

What I'm up to:
I know that the pattern is geometric progression (The coefficients
increase or decrease by a common ratio)
So, i came up with a general system of:
ax + ary = ar^2
bx + bny = bn^2

And every time I try to solve it I end up with (Y = r+n) and (x= -rn),
I can't really solve it...
P.S: I've already solved the original system using Gauss elimination
and found x=2/5 and y=9/5...


thx

[Saladin]

I will endeavor to answer this if time permits me.

[Saladin]

I have this 2x2 linear system:
x+2y=4
5x-y=1/5

The question is: set up and solve a general 2x2 system that incorporates
the pattern found above..


I came up with the general system but I'm stuck somewhere in solving
it..

What I'm up to:
I know that the pattern is geometric progression (The coefficients
increase or decrease by a common ratio)
So, i came up with a general system of:
ax + ary = ar^2
bx + bny = bn^2

And every time I try to solve it I end up with (Y = r+n) and (x= -rn),
I can't really solve it...
P.S: I've already solved the original system using Gauss elimination
and found x=2/5 and y=9/5...


thx

Solve the thing using simultaneous equations.

So, this is how you do it.

 

 

Now you simply replace to take away from the equation.

 
 
 

 

So, I can approve of your answers, but I have not heard of this method before. I think Dibbs will be better acquainted with it than I am.