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Question: get the "core" equations

Question:get the "core" equations

rexpan 55 Maple
numeric
July 24 2011
1

I have a system equations like { a + b = 1, c = a + b +1, d = a + c}

and the sovle function which give me then answer like { a = -2+d, b = -d+3, c = 2, d = d}

I just care about the information in form (name = numeric) like { c = 2 }

and i want the "core" equations which give me that information like { a +b = 1, c = a +b +1 } => {c = 2}

how i can i get the "core" equations of that.
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