MathDB

Let

x = p, y = q, z = r, w = s

be the unique solution of the system of linear equations

x + a_i \cdot y + a^2_i \cdot z + a^3_i \cdot w = a^4_i, i = 1,2,3,4.

Express the solutions of the following system in terms of

p,q,r

and

s:

x + a^2_i \cdot y + a^4_i \cdot z + a^6_i \cdot w = a^8_i, i = 1,2,3,4.

Assume the uniquness of the solution.

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