 Hello and welcome to this session. Let us understand the following problem today. We have drawn the graphs of the equations 5x-y is equal to 5 and 3x-y is equal to 3. Determine the coordinates of the vertices of the triangle formed by these lines and the y-axis. Now let us write the solution. Given equations are 5x-y is equal to 5 that is equation 1 and 3x-y is equal to 3 that is equation 2. Now let us first consider graph of equation 1 that is 5x-y is equal to 5. Now let us find out the values of x and y for this equation to plot the line. So for x is equal to 0, y is equal to minus 5 and for x is equal to 1, y is equal to 0. Now let us plot these points on our graph. So let us see our graph. This is our graph. So first let us plot the point A that is 0, minus 5 that is 0 on x-axis and minus 5 on y-axis. So this is our point A, 0, minus 5. Now let us plot the second point that is 1, 0. So 1 on x-axis and 0 on y-axis. So this is our point B, 1, 0. Now we will join these two points A and B to get our line 5x-y is equal to 5. Now you can see that we have joined the line AB. So we have got this line as 5x-y is equal to 5. Now let us consider graph of equation 2 that is 3x-y is equal to 3. Now we will find out the points x and y for this equation 2. So for x is equal to 0, y is equal to minus 3 and for x is equal to 1, y is equal to 0. Now let us plot these points on our graph. So first point is 0, minus 3. Taking 0 on x-axis and minus 3 on y-axis, so we get this point as our point C that is 0, minus 3. Now let us see the other point that is 1, 0. So now plotting this point we get taking 1 on x-axis and 0 on y-axis. So this is our point B, 1, 0. Now joining the point C and D. Now here you can see that we have joined the line CD. So we have got the triangle BCA and from the graph we find that the lines intersect at point B or D that is 1, 0 and intersect the y-axis at point C that is 0, minus 3 and point A that is 0, minus 5. So we can write our solution as hence coordinates of the vertices of the triangle are 1, 0, 0, minus 3 and 0, minus 5. I hope you understood this problem. Bye and have a nice day.