LINEAR EQUATION IN TWO VARIABLES CLASS 9

1.     Find four different solutions of the equation x+2y=6.

2.     Find two solutions for each of the following equations:
(i) 4x + 3y = 12 
(ii) 2x + 5y = 0
(iii) 3y + 4=0

3.     Write four solutions for each of the following equations: 
(i) 2x + y = 7 
(ii) πx + y = 9 
(iii) x = 4y.

4.     Given the point (1, 2), find the equation of the line on which it lies. How many such equations are there?

5.     Draw the graph of the equation
(i) x + y = 7
(ii) 2y + 3 = 9
(iii) y - x = 2
(iv) 3x - 2y = 4
(v) x + y - 3 = 0

6.     Draw the graph of each of the following linear equations in two variables:
(i) x + y = 4
(ii) x - y = 2
(iii) y = 3x 
(iv) 3 = 2x + y
(v) x - 2 = 0
(vi) x + 5 = 0
(vii) 2x + 4 = 3x + 1.

7.     If the point (3, 4) lies on the graph of the equation 3y=ax+7, find the value of ‘a’.

8.     Solve the equations 2x + 1 = x - 3, and represent the solution(s) on
(i) the number line,
(ii) the Cartesian plane.

9.     Draw a graph of the line x - 2y = 3. From the graph, find the coordinates of the point when
(i) x = - 5 
(ii) y = 0.

10.   Draw the graph of y = x and y = - x in the same graph. Also, find the coordinates of the point where the two lines intersect.