 Hello and welcome to the session. Let's work out the following problem. It says solve the following system of linear equations graphically. The given equations are 2x-3y is equal to 1 and 3x-4y is equal to 1. Does the point 3, 2 lie on any of the lines right its equations. So let's now move on to the solution. The given equations are 2x-3y is equal to 1. The second equation is 3x-4y is equal to 1. Now to plot the graph of this equation we need to make a table which gives us the point through which the graph passes through. Now if we put y is equal to 1 then the equation will become 2x-3 is equal to 1 so it becomes 2x is equal to 1 plus 3 that is 4. So x is equal to 2 similarly if we put x is equal to minus 1 then it would become minus 2 minus 3y is equal to 1 so minus 3y will be equal to minus 3. So y will be equal to minus 1 since we will have minus 2 minus 3y is equal to 1 so minus 3y will be equal to 3 so y will be equal to minus 1. Now if we put y is equal to 3 then equation will become 2x-9 is equal to 1 that is 2x is equal to 1 plus 9 that is 10 so x will be equal to 5. Now we plot the graph of the equation 2x-3y is equal to 1 and this is the corresponding table when x is 2y is 1 so this is the point 2 1 when x is minus 1 y is minus 1 so this is the point minus 1 minus 1. When x is 5 y is 3 so this is the point which we need to plot this is 5 3 so let us now join these points to get the graph so this is the line 2x-3y is equal to 1. Now we will make a table for the equation 3x-4y is equal to 1 now if we put y is equal to 2 then equation will become 3x-8 is equal to 1 that is 3x is equal to 1 plus 8 that is 9 so 3x is equal to 9 and x is equal to 9 by 3 that is 3. Now if we put x is equal to minus 1 the equation will become minus 3 minus 4y is equal to 1 that is minus 4y is equal to 1 plus 3 that is 4 so y is equal to 4y minus 4 that is minus 1. And if we put x is equal to 3 then equation will become 9 minus 4y is equal to 1 that is minus 4y is equal to 1 minus 9 that is minus 4y is equal to minus 8 that is y is equal to 2 which is same as this. Now we plot the graph of the equation 3x-4y is equal to 1 and this is the corresponding table when x is 3 y is 2 that is this point when x is minus 1 y is minus 1 that is this point. Now we have to join these two points to get the graph so this is the line 3x-4y is equal to 1 and the two lines intersect at the point minus 1 minus 1 and the line 3x-4y passes through the point 3, 2. So we write yes the line 3x-4y is equal to 1 passes through the point 3, 2 and its equation through which so it is the line 3x-4y which passes through the point 3, 2. The answer is 3x-4y is equal to 1 so this completes the question and the session by for now take care have a good day.