Another Useless Common Sense Problem(not)

Algebra Level 3

Given the system of equations

x+2y+3z+4w+5v=6

6x+7y+8z+9w+10v=11

11x+12y+...etc

.................25v=26

find xyzvw

note:use a calculator if necessary although not required

None/Infinite Solutions 1/2 0 1 1/(5^5)! 120 Not enough info 2^(6+11+16+21+25)

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1 solution

Aaryan Vaishya
Aug 10, 2019

Using Cramer's rule we can find the solutions to the system.Taking the determinant of the coefficient matrix we find that it is 0,meaning that it has none or an infinite amount of solutions.

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