 Hello and welcome to the session. In this session we discussed the following question which says solve 2x-y equal to 6 and 3x-y equal to 5. Let's proceed with the solution now. We have simultaneous linear equations 2x-y equal to 6 and 3x-y equal to 5. Let this equation be equation 1 and this be equation 2. Now we need to solve these two equations to get the values for x and y. As you can see in these two equations the coefficients of one of the variables are equal that is the coefficient of the variable y are equal in these two equations. Now to find the values of x and y first of all we would subtract equation 1 from equation 2 so we have 3x-y-2x-y is equal to 5-6. So further we get 3x-y equal to 5-6. Further we get 3x-y-2x plus y is equal to minus 1. Now plus y-y cancels and we have 3x-2x which is x is equal to minus 1. So we get the value of x as minus 1. Now to get the value for y we would substitute the value of x in any of the two equations 1 and 2. So now we have substituting x equal to minus 1 in equation 1 we get 2 multiplied by minus 1 that is in place of x here we put minus 1 minus y is equal to 6. This further gives us minus 2 minus y is equal to 6 that is we now have minus y is equal to 6 plus 2 or you can say we have minus y is equal to 8 this means we have y is equal to minus 8. So this is the value for y. So final answer is x equal to minus 1 and y equal to minus 8. This completes the session. Hope you have understood the solution of this question.