 Hi and welcome to the session. My name is Reshi and I am going to help you to solve the following question. Question is solve 2x plus 3y is equal to 11 and 2x minus 4y is equal to minus 24 and hence find the value of m for which y is equal to mx plus 3. Let us start with the solution now. First of all we will rewrite the equations even in the question that is 2x plus 3y is equal to 11 and 2x minus 4y is equal to minus 24. Let us name these equations as 1 and 2. Now from equation 1 we get the value of x is equal to 11 minus 3y upon 2. Let us name this equation as 3. Now substituting the value of x from equation 3 in equation 2 we get 2 multiplied by 11 minus 3y upon 2 minus 4y is equal to minus 24 or we can write 11 minus 3y minus 4y is equal to minus 24 right which further implies minus 7y is equal to minus 24 minus 11 which implies minus 7y is equal to minus 35 this implies y is equal to minus 35 upon minus 7 or we can say y is equal to 5. Now we will substitute the value of y in equation 3 to get the value of x. Now substituting the value of y in equation 3 we get x is equal to 11 minus 3 multiplied by 5 upon 2 which implies x is equal to 11 minus 15 upon 2 which further implies x is equal to minus 4 upon 2 which implies x is equal to minus 2. So our required solution is x is equal to minus 2 and y is equal to 5. Calculate the value of m we will substitute the derived values of x and y in the equation y is equal to mx plus 3. Now y is equal to mx plus 3 is the given equation to us. Now substituting x is equal to minus 2 and y is equal to 5 in equation 3 we get 5 is equal to minus 2m plus 3 or we can write minus 2m is equal to 5 minus 3 this implies minus 2m is equal to 2 this implies m is equal to 2 upon minus 2 equal to minus 1 so m is equal to minus 1 so our required solution is x is equal to minus 2 y is equal to 5 and m is equal to minus 1 is complete sufficient hope you understood the session take care and goodbye.