(i) The given equations are
The two points satisfying (i) can be listed in a table as,
−2 | 8 | |
0 | 4 |
The two points satisfying (ii) can be listed in a table as,
4 | 2 | |
0 | 4 |
Now, graph of equations (i) and (ii) can be drawn as,
It is seen that the solution of the given system of equations is given by x = 3, y = 2.
Also, it is observed that the lines (i) and (ii) meet the y-axis at the points respectively.
(ii) The given equations are
The two points satisfying (i) can be listed in a table as,
4 | 6 | |
0 | –3 |
The two points satisfying (ii) can be listed in a table as,
3 | 2 | |
5.5 | 3 |
Now, graph of equations (i) and (ii) can be drawn as,
It is seen that the solution of the given system of equations is given by x = 2, y = 3.
Also, it is observed that the lines (i) and (ii) meet the y-axis at the points respectively.
(iii) The given equations are
The two points satisfying (i) can be listed in a table as,
3 | 1 | |
5 | 9 |
The two points satisfying (ii) can be listed in a table as,
1 | 5 | |
0 | 4 |
Now, graph of equations (i) and (ii) can be drawn as,
It is seen that the solution of the given system of equations is given by x = 4, y = 3.
Also, it is observed that the lines (i) and (ii) meet the y-axis at the points respectively.
(iv) The given equations are
The two points satisfying (i) can be listed in a table as,
5 | 7 | |
1 | 0 |
The two points satisfying (ii) can be listed in a table as,
2 | 1 | |
0 | –2 |
Now, graph of equations (i) and (ii) can be drawn as,
It is seen that the solution of the given system of equations is given by x = 3, y = 2.
Also, it is observed that the lines (i) and (ii) meet the y-axis at the points respectively.(v) The given equations are
The two points satisfying (i) can be listed in a table as,
1 | 3 | |
2 | –4 |
The two points satisfying (ii) can be listed in a table as,
1 | 4 | |
–3 | 3 |
Now, graph of equations (i) and (ii) can be drawn as,
It is seen that the solution of the given system of equations is given by x = 2, y = −1.
Also, it is observed that the lines (i) and (ii) meet the y-axis at the points respectively.
(vi) The given equations are
The two points satisfying (i) can be listed in a table as,
1 | 3 | |
–3 | 1 |
The two points satisfying (ii) can be listed in a table as,
1 | 5 | |
–2 | 2 |
Now, graph of equations (i) and (ii) can be drawn as,
It is seen that the solution of the given system of equations is given by x = 2, y = −1.
Also, it is observed that the lines (i) and (ii) meet the y-axis at the points respectively.