<prompt> Fumana karabo ea bothata bona ba lipalo me u fane ka tlhaloso e qaqilengHaeba x y 6 le xy 8, kakaretso ea x le y ke eng?  <response>: Instruction in English: Find the answer to this math problem and provide a detailed explanation . Response in English: The problem already tells us that x y 6. Therefore, the sum of x and y is 6. To provide additional context and information, we can find the values of x and y individually by solving this system of equations. We can use substitution method; first, we can solve for x in terms of y in the first equation: x y 6x 6 - yNext, we substitute the expression for x into the second equation.xy 86-yy 86y - y2 8y2 - 6y 8 0To solve for y, we can use the quadratic formula: y --6 - sqrt-62 - 41821y 6 - sqrt36 - 322y 6 - 2 2y1 6 2 2 4y2 6 - 2 2 2So, there are two possible values for y: 2 and 4. Solving for the corresponding values of x, we get: For y 2, x 6 - y 6 - 2 4For y 4, x 6 - y 6 - 4 2Thus, the possible solutions for the system of equations are x, y 4, 2 or x, y 2, 4, and the sum of x and y in both cases is 6. . Response in Sesotho: Bothata bo se bo ntse bo re bolella hore x y 6. Ka hona, kakaretso ea x le y ke 6. Ho fana ka moelelo oa tlatsetso le boitsebiso, re ka fumana litekanyetso tsa x le y ka bomong ka ho rarolla tsamaiso ena ea lipalo. Re ka sebelisa mokhoa oa ho fetola; ea pele, re ka rarolla bakeng sa x ho latela y equation ea pele: x y 6 x 6 - y Ka mora moo, re kenya polelo bakeng sa x ho equation ea bobeli. xy 8 6-y y 8 6y - y2 8 y2 - 6y 8 0 Ho rarolla y, re ka sebelisa foromo ea quadratic: y --6 - sqrt-62 - 41821 y 6 - sqrt36 - 322 y 6 - 2 2 y1 6 2 2 4 y2 6 - 2 2 2 Kahoo, ho na le litekanyetso tse peli tse ka khonehang bakeng sa y: 2 le 4. Ho rarolla litekanyetso tse tsamaellanang tsa x, re fumana : Bakeng sa y 2, x 6 - y 6 - 2 4 Bakeng sa y 4, x 6 - y 6 - 4 2 Kahoo, tharollo e ka khonehang bakeng sa tsamaiso ea lipalo ke x, y 4, 2 kapa x, y 2, 4, me kakaretso ea x le y maemong ao ka bobeli ke 6. 