<prompt> Hlalosa mehato ea ho rarolla tsamaiso ea li-linear equationsnan  <response>: Instruction in English: Outline the steps to solving a system of linear equations . Response in English: A system of linear equations is a set of multiple linear equations with two or more variables that must be solved simultaneously. There are several methods available to solve such systems, depending on the specifics of the problem. Here are some common methods, with an outline of the steps involved in each.Graphical Method:1. Graph each linear equation in the system on the same coordinate plane.2. Identify the points where the lines intersect. This is the solution to the system, representing the values of the variables which make all the equations true simultaneously.3. If the lines are parallel and never intersect, then the system has no solution. If the lines coincide meaning, are the same line, then the system has infinitely many solutions, which can be represented parametrically.Substitution Method:1. Choose one of the equations and solve it for one of the variables in terms of the other variables.2. Substitute the expression for the isolated variable into the other equations in the system. This will eliminate one of the variables, leaving you with one less equation and one less variable to solve for.3. Solve this new equation for the remaining variables.4. Substitute the values found in step 3 back into one of the original equations to solve for the other variables.Elimination Method:1. Arrange the equations such that corresponding terms are aligned vertically.2. Multiply if necessary one, or both of the equations by a constant or constants such that the coefficients of one of the variables become the same or cancel out after subtraction.3. Add or subtract the equations as necessary to eliminate one of the variables.4. Solve the resulting equation, which should now have one less variable, for the remaining variable.5. Substitute the value obtained in the previous step into one of the original equations to solve for the other variables.Matrix Method:1. Write the system of equations in the form of an augmented matrix.2. Use elementary row operations to transform the augmented matrix into reduced row-echelon form also referred to as row-reduced echelon form.3. Once in this form, the last column of the matrix represents the solution to the system. You can simply read the values of the variables from this column.These are some common methods to solve systems of linear equations. Depending on how many equations there are, and how many variables, one method may be more efficient than others. . Response in Sesotho: Sistimi ea li-linear equations ke sete sa lipalo tse ngata tsa mela e nang le mefuta e meli kapa ho feta e tlamehang ho rarolloa ka nako e le ngoe. Ho na le mekhoa e maloa e teng ea ho rarolla litsamaiso tse joalo, ho latela lintlha tse tobileng tsa bothata. Mona ke mekhoa e meng e tloaelehileng, e nang le kemiso ea mehato e amehang ho e ngoe le e ngoe. Mokhoa oa Graphical: 1. Kerafo e ngoe le e ngoe ea equation tsamaisong ea sefofane se le seng sa coordinate. 2. Hlalosa ntlhalibaka moo mela e kopanang teng. Ena ke tharollo ea tsamaiso, e emelang litekanyetso tsa mefuta-futa tse etsang hore lipalo tsohle e be nete ka nako e le ngoe. 3. Haeba mela e bapile me ha ho mohla e kopanang, joale tsamaiso ha e na tharollo. Haeba mela e lumellana moelelo, ke mola o le mong, joale tsamaiso e na le litharollo tse ngata tse ke keng tsa lekanngoa, tse ka emelang parametrically. Mokhoa oa Phapanyetsano: 1. Khetha e ngoe ea li-equation me u e rarolle bakeng sa e ngoe ea liphapang ho latela liphapanyetsano tse ling. 2. Kenya sebaka sa polelo bakeng sa phapang e ka thoko ho equationli tse ling tsamaisong. Sena se tla felisa e ngoe ea mefuta e fapaneng, e u siea u e-na le equation e le ngoe e fokolang le e le ngoe e fokolang eo u ka e rarollang. 3. Rarolla equation ena e ncha bakeng sa li feto-fetoha tse setseng. 4. Fetola boleng bo fumanoang mohatong oa 3 ho khutlela ho e ngoe ea li-equation tsa mantlha ho rarolla bakeng saliphapanyetsano tse ling. Mokhoa oa ho Felisa: 1. Rulahanya li-equation hore mantsoe a tsamaisanang a nyallane ka ho otloloha. 2. Atisa haeba ho hlokahala e le ngoe, kapa ka bobeli ba li-equations ka leqhubu kapa li-constants e le hore li-coefficients tsa e ngoe ea mefuta-futa li tšoane kapa li hlakole ka mora ho ntša. 3. Eketsa kapa u ntše li-equations ha ho hlokahala ho felisa e ngoe ea mefuta-futa. 4. Rarolla equation e hlahisoang, e lokelang ho ba le phetoho e le ngoe e fokolang, bakeng sa phapang e setseng. 5. Bea sebaka sa boleng bo fumanoeng mohatong o fetileng ho e ngoe ea li-equation tsa mantlha ho rarolloa bakeng sa liphapang tse ling. Mokhoa oa Matrix: 1. Ngola mokhoa oa li-equations ka mokhoa oa matrix o eketsehileng. 2. Sebelisa tsebetso ea mela ea motheo ho fetola matrix e eketsehileng hore e be foromo e fokotsehileng ea li-echelon e boetse e bitsoa echelon e fokolitsoeng. 3. Hang ha e se e le foromong ena, kholomo ea ho qetela ea matrix e emela tharollo ea tsamaiso. U ka bala feela boleng ba mefuta-futa ho tsoa kholomong ena. Ena ke mekhoa e meng e tloaelehileng ea ho rarolla litsamaiso tsa linear equations. Ho ipapisitse le hore na li-equations li kae, le hore na li feto-fetoha tse kae, mokhoa o le mong o ka sebetsa hantle ho feta tse ling. 