 Hello and welcome to the session. In this session we discussed the following question which says solve the falling pair of equations 5 upon x minus 1 plus 1 upon y minus 2 is equal to 2 and 6 upon x minus 1 minus 3 upon y minus 2 is equal to 1. Let's move on to the solution. We have the pair of equations as 5 upon x minus 1 plus 1 upon y minus 2 is equal to 2. Let this be equation 1 and 6 upon x minus 1 minus 3 upon y minus 2 is equal to 1. Let this be equation 2. Now we need to solve these two equations for x and y. We suppose let 1 upon x minus 1 be equal to a and 1 upon y minus 2 be equal to b. So substituting 1 upon x minus 1 as a and 1 upon y minus 2 as b in equation 1, we get 5a plus b is equal to 2. Let this be equation 3. Now substituting a equal to 1 upon x minus 1 and b equal to 1 upon y minus 2 in equation 2, we get 6a minus 3b is equal to 1. Let this be equation 4. Now we will solve equations 3 and 4 for a and b. Now multiplying equation 3 by 3, we get 3 into 5a plus b the whole is equal to 3 into 2. That is 15a plus 3b is equal to 6. Let this be equation 5. Now we have equation 5 and equation 4 which is 6a minus 3b equal to 1. Now adding equations 4 and 5, we get 21a is equal to 7 and from here we get a is equal to 7 upon 21. 7 3 times is 21. So we get a as 1 upon 3. Now substituting a equal to 1 upon 3 in equation 4, we get 6 into 1 upon 3 minus 3b equal to 1. That is 2 minus 3b equal to 1 or you can say 3b is equal to 1. So from here we get b is equal to 1 upon 3. Thus we have a equal to 1 upon 3 and b equal to 1 upon 3 and we had assumed a equal to 1 upon x minus 1 and b equal to 1 upon y minus 2. So from here we get x is equal to 1 upon a plus 1 and from here we have y is equal to 1 upon b plus 2. Now substituting a equal to 1 upon 3 and b equal to 1 upon 3 here we will get the values for x and y. So x is equal to 1 upon 1 upon 3 plus 1 which gives us x equal to 3 plus 1 that is equal to 4. Thus we get x equal to 4. Now substituting b equal to 1 upon 3 here we get y is equal to 1 upon 1 upon 3 plus 2 which means y is equal to 3 plus 2 that is we get y is equal to 5. Thus we have x equal to 4 and y is equal to 5. This is our final answer. This completes the session. Hope you have understood the solution of this question.