 Hello and welcome to the session. The given question says, solve the following systems of equation graphically. The first equation is 2x minus y is equal to 4 and the second equation is 3y minus x is equal to 3. Find the points where the lines meet the y-axis. Let's start with the solution. And here the given equations are, first is 2x minus y is equal to 4, the other is 3y minus x is equal to 3. Let this be equation number 2. Now first we should find the points which lie on equation 1 and equation 2, then we should plot them and draw the graphs. Starting with the first one which is 2x minus y is equal to 4, so this implies that y is equal to 2x minus 4. Let us make a table in which we shall write the values of x and y which satisfy equation number 1. Now if x is equal to 0, then y is equal to minus 4. If we take x is equal to 1, then we have 2 minus 4 which is equal to minus 2 which is the value of y. And if we take x is equal to 2, then we have 4 minus 4 which is equal to 0, so y is equal to 0. Now the second equation is 3y minus x is equal to 3 or we have x is equal to 3y minus 3. Here also let us make a table and now let us write down the values of x and y but satisfy this equation. Now when y is equal to 0 and x is equal to minus 3, when we take y is equal to 1, then x is equal to 0 and we take y is equal to 2, then we have 3 twos of 6 minus 3 is equal to 3. So when y is 2, x is equal to 3. Now let us plot these points on the graph. First let us draw the graph of first equation. The first point is 0 minus 4. So when x is 0, y is minus 4 which is this point. Then we have 1 minus 2 that is when x is equal to 1, y is minus 2 which is this point. Then we have 2 0 that is when x is equal to 2y is 0 which is this point. So let us join these three points to get the graph of the first equation. So this is the graph of the first equation which is 2x minus y is equal to 4. Now let us draw the graph of the second equation and the first point is minus 3 0 that is when x is minus 3, y is 0 which is this point. Then when x is 0, y is 1 this point and then we have 3 2 and x is 3, y is 2 which is this point. Now let us join these three points to get the graph of the second equation. Let us join these three points. So this is the graph of 3y minus x is equal to 3. Now the question further says find the points where the line meets the y-axis. So here the line 3y minus x is equal to 3 meets the y-axis at the point 0, 1 and the line which is 2x minus y is equal to 4 meets the y-axis at the point 0 minus 4. Hence the answer is y is equal to 4 meets the y-axis at the point 0 minus 4. The second line which is 3y minus x is equal to 3 meets the y-axis at the point 0, 1. This completes the session by intake care.