 Hello and welcome to the session. Let's discuss the following question. It says, solve the following system of linear equations graphically. The given equations are x minus y is equal to 1 and 2x plus y is equal to 8, shared the area bounded by these two lines and the y-axis. So let's now proceed on with the solution. The given equations are x minus y is equal to 1 and 2x plus y is equal to 8. Now to draw the graph of this equation we need to make a table which gives us the value of x and y through which the graph passes through. So we first make a table for the equation x minus y is equal to 1. We'll give different values to x and y and we'll see through which these graph passes through. If x is 0 then y is minus 1 because equation becomes 0 minus y is equal to 1 that is y is equal to minus 1. And if y is 0 then x is 1 because equation becomes x minus 0 is equal to 1 that is x is equal to 1. And if y is 1 then x is equal to 2 because equation becomes x minus 1 is equal to 1. So we have x is equal to 1 plus 1 that is 2. Now we plot the graph of the equation x minus y is equal to 1. Now if x is 0 then y is minus 1. So here x is 0 and y is minus 1 so this point is 0 minus 1. When x is 1 y is 0 so here x is 1 and y is 0 this is x axis this is y axis. And x axis is the line y is equal to 0 y axis is the line x is equal to 0. And when x is 2 y is 1 so this is the point 2 1. We now join these three points to get the graph of the equation x minus y is equal to 1. So this is the line x minus y is equal to 1. We now make a table for the equation 2x plus y is equal to 8. Now if y is 0 the equation will be 2x plus 0 is equal to 8. So this implies x is equal to 8 by 2 that is 4. And if x is 0 then equation will be 2 into 0 that is 0 plus y is equal to 8. So this implies y is equal to 8 and if y is 2 then equation will be 2x plus 2 is equal to 8. So this implies 2x is equal to 8 minus 2 that is 6. So this implies x is equal to 3. Now we plot these points on the graph to get the equation of the to get the graph of the equation 2x plus y is equal to 8. Here x is 0 and y is 8 because we put x is equal to 0 here that gives us y is equal to 8. Let's now plot these points. If x is for y is 0 then this is the point 4 0. When x is 0 that is here y is 8 this is the point. And when x is 3 y is 2 this is the point. Now we join these three points to get the graph of this equation. So this is the line 2x plus y is equal to 8. Now we have to shape the area bounded by these two lines and the y axis. Now this is the y axis and we have to shape the area bounded by these two lines and the y axis. So we can see that this is the area which we need to shape. This is the required region which has to be shaded. So this completes the question and the session. Bye for now. Take care. Have a good day.