 Hello and welcome to the session. Let us discuss the following problem today. Solve the following pair of linear equations. We have a-b multiplied by x plus a plus b multiplied by y is equal to a square minus 2ab minus b square and a plus b multiplied by x plus y is equal to a square plus b square. Now let us write the solution. The given equations are a minus b multiplied by x plus a plus b multiplied by y is equal to a square minus 2ab minus b square and the second equation is a plus b multiplied by x plus y is equal to a square plus b square. This is our equation 1 and equation 2. Now equation 2 can be written as a plus b multiplied by x plus a plus b multiplied by y is equal to a square plus b square. Now solving these equations, we have now a minus b multiplied by x plus a plus b multiplied by y is equal to a square minus 2ab minus b square and a plus b multiplied by x plus a plus b multiplied by y is equal to a square plus b square. Now subtracting this, do not forget to change the sign while subtracting. This and this gets cancelled and here we get a minus b multiplied by x minus a plus b multiplied by x is equal to a square minus 2ab minus b square minus a square plus b square. Now which implies a x minus b x plus minus a x minus b x is equal to a square minus 2ab minus b square minus a square minus b square. Now we see that a x and a x gets cancelled and here a square and a square gets cancelled. So we get minus 2b x is equal to minus 2ab minus 2b square. Now taking minus 2b common, so we get minus 2b multiplied by x is equal to minus 2b multiplied by a plus b. Now here minus 2b and minus 2b gets cancelled, so we are left with x is equal to a plus b. Now substituting x is equal to a plus b in equation 1, we get, we have equation 1 as a minus b x plus a plus b y is equal to a square minus 2ab minus b square. Now which implies a minus b multiplied by a plus b plus a plus b multiplied by y is equal to a square minus 2ab minus b square which implies a square minus b square plus a plus b multiplied by y is equal to a square minus 2ab minus b square. Now a square and a square gets cancelled, so we are left with also minus b square and minus b square gets cancelled, so we get y is equal to minus 2ab divided by a plus b. Hence x is equal to a plus b and y is equal to minus 2ab divided by a plus b. I hope you understood this question. Bye and have a nice day.