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Asystem equationsthat can be used to determine after how many months the boys will owe the same amount is60 x = $ 100020 y = $ 600In mathematics, asystem of equations, also known as a system of simultaneous or systems of equations, is a finitesystem of equationsfor which we have sought common solutions. Asystem of equationscan be classified in a similar way to simple equations. Asystemofequationsfinds application in our everyday life in modeling problems where unknown values can be represented in the form of variables.In algebra, asystem of equationscontains two or moreequationsand looks for common solutions to theequations. "A system oflinear equationsis a set ofequationsthat are satisfied by the same set ofvariables."We need to find asystem equationsthat can be used to determine after how many months the boys will owe the same amountLet lan take x months to pay $ 1000 to his parentsIn 1 month Ian pays $60In x months Ian pays =60 x= $ 1000Let Ken take y months to pay $ 600 to his parentsIn 1 month Ian pays $20In y months Ian pays =20 y= $ 600Hence60 x= $ 1000and20 y= $ 600are thesystemofequationsLearn more aboutsystemofequationshere:brainly.com/question/28053213#SPJ4...