 Hi and welcome to the session. Let's work out the following question. The question says, solve the following system of equations graphically. x plus 2y equals to 5 and 2x minus 3y equals to minus 4. Also, find the points where the lines meet the x-axis. So let's start with the solution to this question. First of all, for the line x plus 2y equal to 5, or we can say for the line x equals to 5 minus 2y, we find the points lying on this line. So we make a table here like this, wherein first of all we take the value of y to be equal to 0. So x comes out to be 5. When we take y to be equal to 1, x comes out to be 3 and when we take y to be 2, we get x equal to 1. Similarly, for the line 2x minus 3y equal to minus 4, we can say x is equal to 3y minus 4 divided by 2. Now we find out points lying on this line. First of all, we take y to be 0. When we put y to be equal to 0, we get x to be equal to minus 2. When we put y to be equal to 2, we get x equal to 3, 2s are 6 minus 4. That is 2 divided by 2. That is 1. Similarly, when we take y to be equal to 3, we get x to be equal to 2.5. So using the coordinates 503112, we draw the line x equal to 5 minus 2y or x plus 2y equal to 5. And with the coordinates minus 2012 and 2.53, we draw the line 2x minus 3y equal to minus 4. Like this we draw. This is the x-axis. This is the y-axis. So first of all, we plotted the points for x plus 2y equal to 5. Then we've plotted the points for 2x minus 3y equal to minus 4. So we say that line x plus 2y equals to 5. First we say that our answer to this question will be x is equal to 1 and y is equal to 2 because in this graph, we see that both the lines meet at the point 1, 2. So this will be the answer. Also we see that 9x plus 2y equals to 5 meets the x-axis, the point 50 and the line 2x minus 3y equals to minus 4. Needs the x-axis at the point minus 2, 0. That is this point. So this is our answer to this question. I hope that you understood the solution and enjoyed the session. Have a good day.