 Hi and welcome to the session. My name is Cheshri and I am going to help you with the following question. Question is on comparing the ratios even upon A2, B1 upon B2 and C1 upon C2 find out whether the lines representing the following pairs of linear equations intersect at a point are parallel or co-incident. Equations are 5x-4y plus 8 is equal to 0 and 7x plus 6y minus 9 is equal to 0. First of all we should understand that in a pair of linear equations A1x plus B1y plus C1 is equal to 0 and A2x plus B2y plus C2 is equal to 0. We have if A1 upon A2 is not equal to B1 upon B2 then lines intersect each other. If A1 upon A2 is equal to B1 upon B2 is equal to C1 upon C2 then the lines are co-incident and the third condition if A1 upon A2 is equal to B1 upon B2 is not equal to C1 upon C2 then the lines are parallel. This is the key idea to solve the given question. Let us start with the solution now. We are given the two equations that are 5x minus 4y plus 8 is equal to 0 and 7x plus 6y plus 9 is equal to 0. These equations are of the form A1x plus B1y plus C1 is equal to 0 and A2x plus B2y plus C2 is equal to 0. Now comparing the two equations we get the value of A1 B1 C1 and A2 B2 C2. Now our A1 is equal to 5, B1 is equal to minus 4 and C1 is equal to 8. Now comparing these two equations we get A2 is equal to 7, B2 is equal to 6 and C2 is equal to 9. Now A1 upon A2 is equal to 5 upon 7, B1 upon B2 is equal to minus 4 upon 6 which is further equal to minus 2 upon 3 and C1 upon C2 is equal to 8 upon 9. Now we can see A1 upon A2 is not equal to B1 upon B2. By key idea we get two lines intersect each other at a point. Hence the lines intersect at a point is the required answer. This completes the session. Hope you understood the session. Take care and goodbye.