I'm looking for a general-case method to find at(adsbygoogle = window.adsbygoogle || []).push({});

least one solution to a system such as

a_0 = a_1*x_1 + ... + a_n*x_n

b_0 = b_1*x_1 + ... + b_n*x_n

x_1 + ... + x_n = 1

0<= x_1, .... , x_n <= 1

where a_i, b_i are known real numbers, x_i are unknown and n > 4

Thank you in advance.

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# Solution to a system

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