 Hi and welcome to the session. My name is Shashi and I am going to help you to solve the following question. Question is on comparing the ratios A1 upon A2, B1 upon B2 and C1 upon C2, find out whether the following pair of linear equations are consistent or inconsistent. Equations are 3x plus 2y is equal to 5 and 2x minus 3y is equal to 7. First of all let us understand that the system of equations A1x plus B1y plus C1 is equal to 0 and A2x plus B2y plus C2 is equal to 0 is consistent if A1 upon A2 is not equal to B1 upon B2. System is consistent if A1 upon A2 is equal to B1 upon B2 is equal to C1 upon C2 and the given system is inconsistent if A1 upon A2 is equal to B1 upon B2 is not equal to C1 upon C2. This is the key idea to solve the given question. Let us now start with the solution. The given system of equation can be written as 3x plus 2y minus 5 is equal to 0 and 2x minus 3y minus 7 is equal to 0. Now we will compare the two equations with the equations A1x plus B1y plus C1 is equal to 0 and A2x plus B2y plus C2 is equal to 0. Comparing the two equations we can see A1 is equal to 3, B1 is equal to 2, C1 is equal to minus 5 and A2 is equal to 2, B2 is equal to minus 3 and C2 is equal to minus 7. Now A1 upon A2 is equal to 3 upon 2, B1 upon B2 is equal to 2 upon minus 3 and C1 upon C2 is equal to 5 upon 7. Now we can see A1 upon A2 is not equal to B1 upon B2. So by key idea we can see that the given system of equations is consistent. Now by key idea is A1 upon A2 is not equal to B1 upon B2 then given system of equations is consistent. The given system of equation is consistent. This is our required answer. This completes the session. Hope you understood the session. Goodbye.