# Solving Multivariate and multi power Equations

There are 84 equations,

$r-A_DD^5-5A_DD^4D_i-(a_{d_i}+2b_{d_i}D_i)+(1-\alpha)\lambda_i=0,$

$A_L/L-r-(A_L/L^2)L_i-(a_{l_i}+2b_{l_i}L_i)-\lambda_i=0,$

$(1-\alpha)D_i-L_i=0$

where $i=1,\cdots,28$, $D=\sum_{i=1}^{28}D_i$,and $L=\sum_{i=1}^{28} L_i$, and $r,A_L,A_D,a_{d_i},b_{d_i},a_{l_i},b_{l_i},\alpha$ are already known, and $D_i,L_i,\lambda_i$ are to calculated.

How can I solve these 84 equations?

Thanks for you help!

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What about $\alpha$, $D$ and $L$? If those are given, your equations seem to be linear and can be solved separately for each $i$. –  Brendan McKay Mar 17 '13 at 13:55
I am sorry for these mistakes and I have corrected it. $\alpha$ is already known. –  gchphao Mar 18 '13 at 5:17