 Hi, and welcome to the session. I'm Kanika, and I'm going to help you to solve the following question. The question says, in countries like USA and Canada, temperature is measured in Fahrenheit. Whereas in countries like India, it is measured in Celsius. There is a linear equation that converts Fahrenheit to Celsius. f is equal to 9 by 5 into c plus 32. First part is, draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis. Let's hand it in with the solution. Given equation as, f is equal to 9 by 5 into c plus 32. We have to plot the graph of this equation. For plotting the graph, we need at least two solutions of this equation. So let's first find two solutions of this equation. When c is equal to 0, then the given equation reduces to, f is equal to 9 by 5 into 0 plus 32, and this is equal to 32. When c is equal to minus 40, then given equation reduces to, f is equal to 9 by 5 into minus 40 plus 32, canceling minus 40 by 5, we get minus 8, and this is equal to minus 72 plus 32, and this is equal to minus 40. Let's now represent these two solutions in the table of four. So let's make a table now. When c is equal to 0, then f is equal to 32, and when c is equal to minus 40, then f is also equal to minus 40. Let's now make a graph. We have drawn two axes x and y. We have used x axes for Celsius and y axes for Fahrenheit, and we are using the scale 1 centimeter is equal to 8 unit. The two points which we have to plot are 0, 32, and minus 40, minus 40. So let's first plot the first point. Now the first point is when c is equal to 0, then f is equal to 32. So this is the required point, 0, 32. Second point is minus 40, minus 40. This means when c is equal to minus 40, then f is also equal to minus 40. Let's now draw the perpendicular lines from c equals to minus 40 and f equals to minus 40. The point of intersection of these two lines is the required point minus 40, minus 40. Let's now join these two points by a straight line. It's representing the equation f is equal to 9 by 5 into c plus 32. This is our required answer. So this completes the first part. Second part is that the temperature is 30 degrees Celsius. What is the temperature in Fahrenheit? Let's now begin with the solution. In the question we have given a linear equation, f is equal to 9 by 5 into c plus 32 that converts Fahrenheit to Celsius. And this part we have to find if the temperature is 30 degrees Celsius, what is the temperature in Fahrenheit? Now c is equal to 30. We will now put the value of c in this equation. So f is equal to 9 by 5 into 30 plus 32, canceling 30 by 5 we get 6. So this is equal to 54 plus 32 and this is equal to 86. Therefore, when the temperature is 30 degrees Celsius, the temperature in Fahrenheit is 86 degrees Fahrenheit. This completes the second part. Third part is if the temperature is 95 degrees Fahrenheit, what is the temperature in Celsius? Let's now begin with the solution. In the question we have given a linear equation, f is equal to 9 by 5 into c plus 32 that converts Fahrenheit to Celsius. Now in this part we have to find if the temperature is 95 degrees Fahrenheit, what is the temperature in Celsius? Now f is equal to 95. Substitute the value of f in this equation by substituting the value we get 95 is equal to 9 by 5 into c plus 32 or we can say that 95 minus 32 is equal to 9 by 5 into c or 63 is equal to 9 by 5 into c plus c is equal to 63 into 5 upon 9. Now canceling 63 by 9 we get 7. So c is equal to 35. Therefore, when the temperature is 95 degrees Fahrenheit, the temperature in Celsius is 35 degrees Celsius. This completes the third part. Third part is if the temperature is 0 degrees Celsius, what is the temperature in Fahrenheit and if the temperature is 0 degrees Fahrenheit, what is the temperature in Celsius? Let's now begin with the solution. In the question we have given a linear equation, f is equal to 9 by 5 into c plus 32 that converts Fahrenheit to Celsius. In the first part we have to find if the temperature is 0 degrees Celsius, what is the temperature in Fahrenheit? Now c is equal to 0, substitute the value of c in this equation by substituting the value we get f equals to 9 by 5 into 0 plus 32. So f is equal to 32. Therefore, when the temperature is 0 degrees Celsius, the temperature in Fahrenheit is 32 degrees Fahrenheit. Now in the second part we have to find if the temperature is 0 degrees Fahrenheit then what is the temperature in Celsius? Now f is equal to 0, substitute the value of f in this equation by substituting the value we get 0 equals to 9 by 5 into c plus 32 plus c is equal to minus 32 into 5 by 9. This is equal to minus 60 by 9 and this is equal to minus 17.8 approximately. When the temperature is 0 degrees Fahrenheit, then the temperature in Celsius is minus 17.8 degree Celsius approximately. This is our required answer. So this completes the fourth part. Let us now do the fifth part. The fifth part is the standard temperature which is numerically the same in both parameter cells. Yes, it is my guess. Let us now begin with the solution. Let us assume that there exists temperature which is numerically in both Fahrenheit and Celsius. That means c is equal to f. In the question, we are given a linear equation. f is equal to 9 by 5 into c plus 32 that converts Fahrenheit to Celsius. Now c is equal to f. So we can substitute c in place of f in this equation. So by substituting c in place of f in this equation, we get c is equal to 9 by 5 into c plus 32 or we can say that 5 c is equal to 9 c plus 160 or we can say that minus 4 c is equal to 160 plus c is equal to minus 40 degree. Now substitute the value of c in this equation. In substituting the value we get f is equal to 9 by 5 into minus 40 degree plus 32. This is equal to minus 72 plus 32 and this is equal to minus 40. So c is equal to f. Hence, our required answer is yes, the temperature which is numerically the same in both Fahrenheit and Celsius is minus 40 degree. This completes the first part. Bye and take care. I hope you have enjoyed the session.