Post by: Gazelle on August 25, 2010, 05:20:16 pm
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
Post by: Saladin on August 26, 2010, 11:50:01 am
Post by: Saladin on August 26, 2010, 12:29:02 pm
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
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.