 Hi, and welcome to the session. I'm Kanika and I'm going to help you to solve the following question. The question says which one of the following options is true and why. y is equal to 3x plus 5 has first part is a unique solution, second part is only two solutions and third part is infinitely many solutions. Let's now proceed on with our solution. In this question we have to find whether y equals to 3x plus 5 has a unique solution or only two solutions or infinitely many solutions. Now when x is equal to 1 then the given equation y is equal to 3x plus 5 reduces to y equals to 3 into 1 plus 5 and this implies that y is equal to 8 therefore 3 equals to 1 and y equals to 8 is a solution, find one more solution of this equation. When 3 equal to 0 then the given equation reduces to y equals to 3 into 0 plus 5 and this implies y is equal to 5 therefore x equals to 0 and y equals to 5 is a solution of the given equation. Similarly if I take x as minus 1 then the given equation reduces to y equals to 3 into minus 1 plus 5 and this implies y is equal to 2 therefore x equals to minus 1 and y equals to 2 is a solution of the given equation y is equal to 3x plus 5 and if I substitute x as 2 then the given equation reduces to y equals to 3 into 2 plus 5 and this implies y is equal to 11 therefore equals to 2 and y equals to 11 is a solution of the given equation y is equal to 3x plus 5. You can observe that for every value of x there is a corresponding value of y and vice versa so this implies that the equation y equals to 3x plus 5 has infinitely many solutions therefore option 3 is true because for every value of x corresponding value of y and vice versa this is a required answer. Bye and take care hope you have enjoyed the session.