Linear Equations in two variables-Sample Questions

1.   Show that x = 1, y = 3 satisfy the linear equation 3x – 4y + 9 = 0.

2.   Look at the following graphical representation of an equation. Which of the points (0, 0) (0, 4) or (– 1, 4) is a solution of the equation?

3.   Look at the following graphical representation of an equation. Which of the following is not its solution?

4.   Is (3, 2) a solution of x + y = 6?

5.   Is a solution of 2x + 3y = 12?

6.   (i) Write the equation of x-axis.

      (ii) Write the equation of y-axis.

7.   Express in the form of ax + by + c = 0 and write the value of a, b and c.

8.   Express 2x = 5 in the form ax + by + c = 0 and find the value of a, b and c.

9.   Write two solutions of 3x + y = 8.

10.   If x = –1 and y = 2 is a solution of kx + 3y = 7, find the value k.