The document provides examples of solving simultaneous equations graphically. It shows: 1) Solving the simultaneous equations x + y = 3 and x - y = 1 by finding the intersection points of the lines on a graph, getting the solutions (2,1), (0,3), and (6,-3). 2) Solving the simultaneous equations 2x + y = 6 and 3x + 4y = 4 by substituting one equation into the other and finding the x and y values, getting the solutions (2,2), (1,4), and (4,-2).

1. SOLUTION OF SIMULTANEOUS EQUATION BY
GRAPHICAL METHOD

3. A. 1) X +y = 3 ; x – y = 1
1. For , x = 2
2 + y = 3
X + y = 3
y = 3 - 2
Y = 1

4. 2. For , x = 0
0 + y = 3
Y = 3 – 0
Y = 3
3. For , x = 6
4. 6 + y = 3
5. Y = 3 – 6
6. Y = -3

5. x y ( x , y)
2 1 ( 2,1)
0 3 ( 0,3)
6 -3 ( 6,-3)

7. X – y = 1
1. For , y = 2
x – 2 = 1
x = 1+2
x = 3
2. For , y = 3
x – 3 = 1
x = 1 +3
x = 4

8. 3. For , y = -2
x – ( - 2) = 1
x + 2 = 1
x = 1-2
x = -1

9. x y ( x, y)
3 2 ( 3,2)
4 3 ( 4,3)
-1 -2 ( -1,-2)

12. B. 2x+y=6 , 3x+4y=4
2x+y=6
2x=6-y
For, y=2
2x=6-2
2x=4
X=4-2
X=2

13. For , y=4
2x=6-4
2x=2
x=1
For , y=-2
2x=6-(-2)
2x=8
x=4

14. x y (x , y)
2 2 (2,2)
1 4 (1,4)
4 -2 (4,-2)
x

16. 3x+4y=4
4y=4-3x
For, x=4
4y=4-3(4)
4y=4-12
4y=-8
Y=-2

17. For, x=8
4y=4-3(8)
4y=4-24
4y=-20
y=-5
For, x=0
4y=4-3(0)
4y=4-0
4y=4
y=1

18. x y (x , y)
4 -2 (4,-2)
8 -5 (8,-5)
0 1 (0,1)