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What are the possible ways to solve 2 unknowns in 3 equations?
How would I solve 2 unknowns in 3 equations? For instance in a Ramsay-Shields equation 3 conditions are given and the unknown are k and tc
***Ramsay Shields equation= (M/P1)^2/3=k(tc-t1-6) 3 conditions are given and we have to solve for the value of k and tc
1 Answer
- 8 years agoFavorite Answer
I have 3 eqns and 2 unknowns Hb and Hbo2, they
look like this: Bxy = AB * HB + AB * Hbo2 Rxy = AR * HB + AR * Hbo2 Gxy = AG * HB + AG * Hbo2 Now I have been trying to use a matrix method in
order to solve the unknowns for them equations,
which is a pain in the *** cause when I convert it to
matrix form I get an irregular matrix because it is 2
unknowns and 3 equations. Does anyone on here know how to solve n number
of equations with n-1 unknowns. EDIT Thanks for the responses so far, they have been
great. To help make this more clear, what I am trying to
do is work out the concentration of oxygenated
and deoxygenated blood at a given pixel in an
image. so the variables above correspond to the
following. Rxy Gxy and Bxy, red green or blue absorbed at
position x,y. (value between 0 - 255) AR, AG, AB is the absorption coefficient of light for
Red geen and blue wavelengths for blood.
(HOWEVER there is a possibility I might have to
define different absorption coefficients for
oxygenated and deoxygenated blood (as they
absorb different amounts of light)). Hb and Hbo2 is the concentration of Oxygenated
and Deoxygenated blood. (these are unknown as
I'm trying to map the RGB values to this) However I have also noticed that the coefficients for
Oxygenated and Deoxygenated blood are different
so this means the equation could possibly be the
following. Bxy = (ABhb * HB) + (ABhbo2 * Hbo2) Rxy = (ARhb * HB) + (ARhbo2 * Hbo2) Gxy = (AGhb * HB) + (AGhbo2 * Hbo2) The only difference in the above is that the
coefficients are different for oxygenated and
deoxygenated blood
Source(s): google