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.

Very knowledgeable and descriptive blog.The linear equation can be solve by three methods.My favorite is graphical method.But there is some complex situations come when the solutions are imaginary.Can you please help me about it.

ReplyDeletedomain