Graphical Method
X
1
2
3
4
5
6
7
8
0
–8
–7
–6
–5
–4
–3
–2
–1
1
2
3
4
5
6
8
9
10
7
–1
–2
–3
–4
–5
–7
–6
–8
–9
–10
Y
Y′
Scale : 1 cm = 1 unit
on both the axes
X′
Sol :
x + 2y = 6; 2x + y = 6
x + 2y = 6
x
y
(x, y)
0
3
(0, 3)
6
0
(6, 0)
2x + y = 6
x
y
(x, y)
0
6
(0,6)
3
0
(3, 0)
x = 2and y = 2 is the solution of the given simultaneous equations.
∴
(3, 0)
(0, 6)
(0, 3)
(6, 0)
(2 , 2)
(iv)
When y = 0
x + 2(0) = 6
x + 0 = 6
x = 6
When x = 0
2(0) + y =6
y = 6
x + 2y = 6
2x + y = 6
Now let us take the
2nd equation
Now let us plot the points
In these two tables on
a graph paper
3
3
Let us consider x = 0
Let us consider y = 0
Let us consider x = 0
Let us consider y = 0