 Hi and welcome to the session my name is Shashi and I am going to help you with the following question. Question is form the pair of linear equations in the following problems and find their solutions graphically. Second part is 5 pencils and 7 pens together cost Rs.50 whereas 7 pencils and 5 pens together cost Rs.46. Find the cost of one pencil and that of one pen. Now we can see in the question that we have two unknown quantities that is the cost of one pencil and the cost of one pen. Let us start with the solution now. Let the cost of one pencil be Rs.X, the cost of one pen be Rs.Y. Now two conditions are given in the question. First condition is 5 pencils and 7 pens together cost Rs.50. Cost of 5 pencils would be 5X and the cost of 7 pens would be 7Y. This implies 5X plus 7Y must be equal to Rs.50. Therefore our first equation is 5X plus 7Y is equal to 50. Now the other condition given in the question is 7 pencils and 5 pens together cost Rs.56. Therefore we have the equation 7X plus 5Y is equal to 46. So our required two equations are 5X plus 7Y is equal to 50 and 7X plus 5Y is equal to 46. Now to solve the equations graphically first of all we will take the equation 5X plus 7Y is equal to 50 and find the two solutions for it. These are 3, 5 and 10, 0. Now we will take the other equation that is 7X plus 5Y is equal to 46 and find the two solutions for it which are 3, 5 and minus 2, 12. Let us now represent the line 5X plus 7Y is equal to 50 on the graph. First point is 3, 5 which is present over here. Let us mark it as A and the other point is 10, 0 which is present over here and let us mark it as B. Now to represent the required line let us join A, B. Now we will represent the line 7X plus 5Y is equal to 46 on the graph for which we will first plot the point 3, 5 which has already been marked as A and the other point is minus 2, 12. Let us mark it as now we will join A, C to get the line 7X plus 5Y is equal to 46. Now the two lines intersect each other at the point A which is 3, 5 so 3Y is equal to 5 is the graphical solution where X is the cost of the pencil that is equal to rupees 3 and Y is the cost of the pen that is equal to rupees 5. Hence cost of pencil is equal to X is equal to rupees 3 and cost of pen equal to Y is equal to rupees 5 is the required answer. This completes the session hope you understood the session take care and good bye.