Question
Solve the systems of equations graphically: 2x + 3y = 10 3.x  y=4
Solution
Sol.
3xy=4
y=4  3x
2x+3y=10
=> 3y = 1022
102x
y=
> y=3x4
102(5) = 0
When x= 5, y =
When r=0, y=3(04=4
3
102(8) 2
When x=8, y=
When r=1, y=3 (1)4=1
102(11) 4
When x=11, y = —
Whenx=3, y=3 (3) 4 = 5
3
Table for 3xy=4 is
Table for 2x+3y=10 is
x 5 8 11
Ty0
24
3xy=4
moty (3,5)
(2,2)
1+
(5,0)

T
2
3
4
5
7
17 (1,1)
8 9 10 11 12
(82)
34
44 (0,4)
2x+3y=10
(114)
Y'
From the graph, the solution is the point of intersection of the lines, i.e. r=