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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 AnswerI 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


