Question Video: Figuring the Sum of Elements of a Set given Its Cartesian Product with a given Set | Nagwa Question Video: Figuring the Sum of Elements of a Set given Its Cartesian Product with a given Set | Nagwa

# Question Video: Figuring the Sum of Elements of a Set given Its Cartesian Product with a given Set Mathematics • Third Year of Preparatory School

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If {31} Γ {π₯, π¦} = {(31, 25) (31, 46)}, find all the possible values of π₯ + π¦.

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### Video Transcript

If the set 31 times the set π₯ π¦ is equal to the set 31 25, 31 46, find all possible values of π₯ plus π¦.

Our first set is 31, and our second that is π₯ plus π¦. Weβre also given the ordered pair set of their product. If weβre multiplying 31 by the set π₯ π¦ and it produces 31 25, 31 46, we know that π₯ is equal to 25 and π¦ equals 46.

π₯ plus π¦ is then equal to 25 plus 46, which equals 71. Itβs also possible that we could switch the π₯ and π¦ values, in which case π₯ plus π¦ would be equal to 46 plus 25 and the solution would still be equal to 71. The only possible outcome of π₯ plus π¦ here is 71.

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