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solving equations
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the system x+y+3z=0
4x+3y+kz=0
2x+y+2z=0
has a non zero solution when k=?
asked
Sep 11
in
Mathematical Logic
by
A_i_$_h
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Consider the set {a, b, c} with binary operators + and × defined as follows : + a b c × a b c a b a c a a b c b a b c b b c a c a c b c c c b For example, a + c = c, c + a = a, c × b = c and b × c = a. Given the following set of equations : (a × x) + (a × y) = c (b × x) + (c × y) = c The number of solution(s) (i.e., pair(s) (x, y) that satisfy the equations) is :
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