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CBSE CLASS IX

Linear Equation in Two Variables

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.

Submitted By Amit Kumar Jha
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