 Hello and welcome to the session. Let us understand the following problem today. Solve the following pair of linear equations. AX plus BY is equal to C and BX plus AY is equal to 1 plus C. Now let us write the solution. The given equations are AX plus BY is equal to C and BX plus AY is equal to 1 plus C. These are our equations 1 and 2. Now given equations can be written as AX plus BY minus C is equal to 0 and BX plus AY minus 1 plus C is equal to 0. Now here A1 is equal to A, A2 is equal to B, B1 is equal to B, B2 is equal to A, C1 is equal to minus C and C2 is equal to minus 1 plus C. Now by cross multiplication we have X upon B1 C2 minus B2 C1 is equal to Y upon C1 A2 minus C2 A1 which is equal to 1 upon A1 B2 minus B1 A2. Now which implies X upon B multiplied by minus of 1 plus C minus A multiplied by minus C which is equal to Y upon minus C multiplied by B minus of minus 1 multiplied by 1 plus C into A which is equal to 1 upon A multiplied by A minus B multiplied by B which implies X upon minus B minus BC plus AC which is equal to Y upon minus BC plus A plus AC which is equal to 1 upon A2 minus B2 which implies X upon taking C common from these two we get C multiplied by A minus B minus B which is equal to Y multiplied by C multiplied by A minus B plus A which is equal to 1 divided by A minus B multiplied by A plus B. Now considering first X upon C multiplied by A minus B minus B is equal to 1 by A minus B multiplied by A plus B which implies X is equal to C multiplied by A minus B minus B upon A minus B multiplied by A plus B which implies X is equal to C multiplied by A minus B minus B upon A square minus B square. Now consider Y upon C multiplied by A minus B plus A is equal to 1 by A square minus B square which implies Y is equal to C multiplied by A minus B plus A divided by A square minus B square. Hence X is equal to C multiplied by A minus B minus B divided by A square minus B square and Y is equal to C multiplied by A minus B plus A divided by A square minus B square is our required answer. I hope you understood the problem. Bye and have a nice day.