 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that find the solution of the given system of equations graphically and the equations are y is equal to 3 raised to the power x and y is equal to 4 minus x upon 2. Now let us start with the solution of this question. We are given the system of equations that is y is equal to 3 raised to the power x. Let us mark it as equation number 1 and y is equal to 4 minus x upon 2. Let us mark this equation as equation number 2 and we have to solve the system of equations graphically. So first we make graphs of these two equations. The first equation is y is equal to 3 raised to the power x. It is an exponential function. Let us make its table of values. Here in this equation if we put the value of x as minus 2 that is when x is equal to minus 2 then we get the value of y as 3 raised to the power minus 2 which implies that y is equal to 1 upon 3 raised to the power 2 that is 1 upon 9. So when x is equal to minus 2 we get the value of y as 1 upon 9. Similarly if we put the value of x as minus 1 that is when x is equal to minus 1 we get the value of y as 3 raised to the power minus 1 which implies that y is equal to 1 upon 3. So for x is equal to minus 1 y is equal to 1 upon 3. In this way we get different values of y for corresponding values of x that is when x is 0 y is equal to 1, when x is 1 y is 3, when x is 2 y is 9, when x is 3 y is equal to 27. Now we shall plot these points on the graph we have plotted these points on the coordinate plane and now we will join these points to form an exponential curve. This curve represents the graph of the equation y is equal to 3 raised to the power x. Now we have the second equation as y is equal to 4 minus x upon 2. This is an equation of a straight line. Let us make its table of values. Now if we put the value of x as 0 in this equation that is when x is equal to 0 we get the value of y as 4 minus 0 by 2 which implies that y is equal to 4 minus 0 that is equal to 4. So for x is equal to 0 y is equal to 4. Similarly if we put the value of x as 8 that is when x is equal to 8 y is equal to 4 minus 8 by 2 which implies that y is equal to 4 minus 4 that is 0. So for x is equal to 8 the value of y is 0. Similarly when the value of x is 2 we get the value of y as 3. Now we shall plot these points on the coordinate plane. We have plotted these points on the coordinate plane and now we join these points to form a straight line. Now this straight line shows the graph of the equation y is equal to 4 minus x upon 2. Now we see that this line intersects the exponential curve at only one point that is this point. Now we draw horizontal and vertical line from this point of intersection on y axis and x axis to know its coordinates and we see that this point of intersection has coordinates 1.1, 3.5. Thus we say that the solution of the given system of equations is approximately given by the coordinates 1.1, 3.5. This completes our session. Hope you enjoyed this session.