## Discussion Forum

Que. | 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 : |

a. | 0 |

b. | 1 |

c. | 2 |

d. | 3 |

Answer:2 |