 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. First part is, 10 students of class 10 took part in a mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz. After reading the question carefully, there are two unknown quantities in the question. That is, the number of boys and the number of girls. Let us start with the solution now. Let the number of girls be equal to x. The number of boys is equal to y. Now, total number of students given in the question is 10. So, we know that number of girls plus number of boys must be equal to 10 or we can write x plus y is equal to 10. x is the number of girls here and y is the number of boys. So, sum of both girls and boys is equal to 10. We are given in the question that the number of girls is 4 more than the number of boys. This implies the difference between their number is equal to 4, right? So, we can write x minus y is equal to 4. Number of girls is 4 more than the number of boys. So, the number of girls minus number of boys must be equal to 4. Hence, our two equations are x plus y is equal to 10 and x minus y is equal to 4. Now, for solving the equations graphically we will obtain the graphical representation after finding the two points on the line representing each equation. Or we can say we have to find two solutions of each equation. Now, our first equation is x plus y is equal to 10. Now, two solutions for the same equation are 0, 10 and 6, 4. Similarly, our second equation is x minus y is equal to 4. So, two solutions for this equation are 0 minus 4 and 5, 1. Now, to plot the line x minus y is equal to 4, we plot the points a, 0 minus 4 and b, 5, 1 and draw the line a, b passing through these two points. Let us now plot the points 0 minus 4 and 5, 1. We can see 0 minus 4 is the point here and another point is 5, 1. So, we can see 5 and 1 are present here. We will name these points as a and b and join a, b. Now, to represent the equation x plus y is equal to 10, we plot the points c as 0, 10 and the point d as 6, 4. We can see 0, 10 is this point and we mark it as c and we can see we are required to plot 6, 4 which is present here and we mark it as d. Now, we will join c and d. Now, we can see the two lines a, b and c, d intersect each other at point b having its coordinates as 7, 3. So, the required solution is 7, 3. Now, we observe that value of x is equal to 7 and the value of y is equal to 3 where x is the number of girls and y is the number of boys. Hence, the solution is girls is equal to 7 and boys is equal to 3. This is our required answer. Hope you understood the session. Take care and goodbye.