 Hi and how are you all today? I am Priyanka and let us discuss the following question together. It says if x by 3 plus 1 comma y minus 2 by 3 is equal to 5 by 3 comma 1 by 3, find the values of x and y. Here in this question we'll use the definition of equality of two ordered pairs. Example if a comma b is equal to c comma d then he can say that a is equal to c and b is equal to d. This is equality of two ordered pairs. Two ordered pairs are equal if and only if the corresponding first part, first elements are equal and the corresponding second elements are also equal. The knowledge of the ordered pairs and the equality is the key idea that we're going to use in order to proceed on with our solution. Now here we are given x by 3 plus 1 comma y minus 2 by 3 is equal to 5 by 3 comma 1 by 3, right? Equating the first element we get x by 3 plus 1 equals 5 by 3. Now here this will represent our a, this will represent our b, this is c and this is t. So as we discussed above if we have been given equality of two ordered pairs then the corresponding first part are equal and the corresponding second parts are equal. Now let us solve the following linear equation and we have x by 3 is equal to 5 by 3 minus 1 which gives us x by 3 equals 2 by 3 or x is equal to 2, right? Now equating the second elements we get y minus 2 by 3 equals 1 by 3 which can be written as y is equal to 1 by 3 plus 2 by 3 which is y is equal to 3 by 3 which gives us the value of y is equal to 1. After simplification we got our answer as the value of x is equal to 2 and the value of y is equal to 1, right? So for solving the given problem we use the definition of equal ordered pairs and found out the required values by solving what we learned in our previous classes linear equation in one variable. Okay, bye, take care, hope you can solve more of these types.