 Hello friends, welcome to the session. I am Malka. We are going to discuss pair of linear equations into variables We have to form the pair of linear equations in the following problems and find their solutions if they exist by the elimination method Our problem is Mina went to a band to withdraw rupees 2000 She asked the cashier to give her rupees 15 and rupees 100 notes only. Mina got 25 notes in all find how many notes of rupees 15 and rupees 100 she received So now let's start with the solution let the number of rupee 50 notes be equal to X and let the number of rupee 100 notes be Y Now since we are given that total number of notes Mina got is 25 So this can be written as X plus Y equal to 25 this is a first equation Now we know that total money withdrawn is rupees 2000 and money in rupees 50 notes V 50 X money in rupees 100 notes be 100 Y Now this can be written as 50 X plus 100 Y equal to 2000 or X plus 2 Y equal to 40 on taking 50 as common. So this is our second equation That's the two equations and express Y equal to 25 and express 2 Y equal to 40 This is our first equation and this is our second equation now on subtracting equation first from second we get X minus X plus 2 Y minus Y equal to 40 minus 25 this implies Y equal to 15 Now on substituting Y equal to 15 in equation first we get plus 15 equal to 25 this implies X equal to 25 minus 15 this implies X equal to 10 two equations are X plus Y equal to 25 and X plus 2 Y equal to 40 where X and Y are rupees 50 and rupees 100 notes respectively X equal to 10 and Y equal to 15 is the answer. Hope you understood the solution and enjoyed the session. Goodbye and take care