<prompt> Hlalosa hore na ke hobaneng ha foromo e latelang e sebetsa.2x 3 7  <response>: Instruction in English: Explain why the following formula works. . Response in English: The formula 2x 3 7 is an algebraic equation that can be used to find the value of the unknown variable x. To understand why the formula works, we need to use the basic operations of algebra to isolate the variable x on one side of the equation and solve for its value. Here are the steps to solve the equation:1. The goal is to isolate the variable x, so every term that does not include x must be moved to the other side of the equation. In this case, we will begin by subtracting 3 from both sides of the equation. According to the subtraction property of equality, whatever you do to one side of the equation, you must do to the other side, so the equation remains balanced. 2x 3 7- 3 -3___2x 42. Now that we have isolated the 2x term on one side of the equation, we can solve for x by dividing both sides of the equation by the coefficient of the x term, which is 2. According to the division property of equality, whatever you do to one side of the equation, you must do to the other side, so the equation remains balanced. 2x 4 ÷2 ÷2___x 2By following these steps, we have used algebraic operations to solve for the value of the variable x, which is 2. This is why the formula 2x 3 7 works. It provides a specific relationship between the variable x and the constants 2, 3, and 7, that can be manipulated using basic algebraic operations to find the value of the unknown variable x. . Response in Sesotho: Foromo 2x 3 7 ke aljebra equation e ka sebelisoang ho fumana boleng ba mofuta o sa tsejoeng x. Ho utloisisa hore na ke hobaneng ha foromo e sebetsa, re hloka ho sebelisa tsebetso ea mantlha ea algebra ho arola x ka lehlakoreng le leng la equation le ho rarolla boleng ba eona. Mehato ea ho rarolla equation ke ena: 1. Sepheo ke ho arola feto-fetoha x, kahoo lentsoe le leng le le leng le sa kenyelletseng x le tlameha ho isoa ka lehlakoreng le leng la equation. Tabeng ena, re tla qala ka ho tlosa 3 mahlakoreng a mabeli a equation. Ho ea ka thepa ea ho tlosa tekano, eng kapa eng eo u e etsang ka lehlakoreng le leng la equation, u tlameha ho e etsa ka lehlakoreng le leng, kahoo equation e lula e leka-lekana. 2x 3 7 - 3 -3 ___ 2x 4 2. Kaha joale re qootse lentsoe 2x ka lehlakoreng le le leng la equation, re ka rarolla x ka ho arola mahlakore ka bobeli a equation. equation ka coefficient ea lentsoe x, e leng 2. Ho ea ka thepa ea karohano ea tekano, eng kapa eng eo u e etsang ka lehlakoreng le leng la equation, u tlameha ho e etsa ka lehlakoreng le leng, kahoo equation e lula e leka-lekana. 2x 4 ÷2 ÷2 ___ x 2 Ka ho latela mehato ena, re sebelisitse tsebetso ea algebra ho rarolla boleng ba phapang x, e leng 2. Ke ka lebaka leo foromo 2x 3 7 e sebetsang. E fana ka kamano e khethehileng pakeng tsa phapang x le tse feto-fetohang 2, 3, le 7, e ka fetoloang ho sebelisoa litsebetso tsa algebra ho fumana boleng ba phapang e sa tsejoeng x. 