Linear Equations in two variables-Sample Papers

1.   Show that x = 2 and y = 1 satisfy the linear equation 2x + 3y = 7.

2.   Write four solutions of 2x + 3y = 8.

3.   Draw the graph of the equation 2x – 3y = 12. At what points, the graph of the equation cuts the x-axis and the y-axis?

4.   Draw the graph of 9x – 5y + 160 = 0. From the graph find the value of y when x = 5.

5.   From the following graph, find four solutions of the equation representing the line AB.

6.   The following observed values of x and y are thought to satisfy a linear equation.

       Draw the graph using the values of x and y as given in the above table.

       At what points the graph of the linear equation cuts the x-axis?

7.   The taxi fare in a twon is Rs 10 for the first kilometre and Rs 6 per km for the subsequent distance. Taking the distance as �x� km and total fare as Rs. y, write a linear equation for this information, what will be the total fare for 15 km?

8.   Draw the graph of the equation x – y = 4. From the graph, find the coordinates of the point when the graph line meets the x-axis.

9.   Draw the graph x + 2y = 6 and from the graph, find the value of x when y = –3.

10.   Solve: