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
(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.
(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
(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.
(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.
(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.
(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.
