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Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations

\begin{array}{rcrcrcrcrcr}

a & + & 2b & + & 3c & + & 4d & + & 5e & = & 47, \\

2a & + & 3b & + & 4c & + & 5d & + & e & = & -15, \\

3a & + & 4b & + & 5c & + & d & + & 2e & = & -18, \\

4a & + & 5b & + & c & + & 2d & + & 3e & = & 3, \\

5a & + & b & + & 2c & + & 3d & + & 4e & = & 14.

\end{array}

 

a+2b+3c+4d+5e=47,2a+3b+4c+5d+e=15,3a+4b+5c+d+2e=18,4a+5b+c+2d+3e=3,5a+b+2c+3d+4e=14.

 
 Feb 23, 2024
edited by Alan  Feb 23, 2024

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