<prompt> Hlalosa hore na li-equation tsa motheo li sebetsa joang tšimong e fanoeng.Lipalo  <response>: Instruction in English: Explain how basic equations work in the given field. . Response in English: In Mathematics, equations are used to represent the relationship between two or more values or expressions. They are comprised of two expressions separated by an equal sign, indicating that the values on either side of the equal sign are equivalent.A basic equation often contains one or more variables, which are represented by letters and can take on any value. The goal is usually to find the value of these variables that makes the equation true, or balanced that is, makes both sides of the equal sign equal.Lets take an example of basic equation, 2x 3 5. Here, x is the variable, and the goal is to determine its value. To do this, you perform a series of operations that isolate x on one side of the equation. By subtracting 3 from both sides, we get 2x 3 - 3 5 - 3, which simplifies to 2x 2. Then, you can divide both sides by 2 to get x 1. By following the order of operations, you can verify that this value of x makes the equation true: 21 3 5.In summary, basic equations work by representing the relationship between values or expressions, and solving them involves finding the values of the variables that make the equation true. . Response in Sesotho: Thutong ea Mathematics, lipalo li sebelisoa ho emela kamano pakeng tsa litekanyetso tse peli kapa ho feta kapa lipolelo. Li entsoe ka lipolelo tse peli tse arohaneng ka letšoao le lekanang , le bontšang hore litekanyetso ka mahlakoreng a mabeli a letšoao le lekanang lia lekana. Equation ea mantlha hangata e na le mofuta o le mong kapa ho feta, tse emeloang ke litlhaku me li ka nka boleng bofe kapa bofe. Hangata sepheo ke ho fumana boleng ba mefuta ena e etsang hore equation e be nete, kapa e leka-lekane ke hore, e etsa hore mahlakore ka bobeli a letsoao le lekanang a lekana. Ha re nke mohlala oa equation ea motheo, 2x 3 5. Mona, x ke phapang, me sepheo ke ho fumana boleng ba eona. Ho etsa sena, o etsa letoto la litsebetso tse khethollang x ka lehlakoreng le leng la equation. Ka ho tlosa 3 mahlakoreng ka bobeli, re fumana 2x 3 - 3 5 - 3, e nolofatsang ho 2x 2. Joale, o ka arola mahlakore ka bobeli ka 2 ho fumana x 1. Ka ho latela taelo ea tsebetso, u ka netefatsa hore boleng bona ba x bo etsa hore equation e be nete: 21 3 5. Ka kakaretso, li-equations tsa motheo li sebetsa ka ho emela kamano pakeng tsa litekanyetso kapa lipolelo, me ho li rarolla ho kenyelletsa ho fumana boleng ba mefuta e etsang equation nete. 