(Q.8). Solve the following systems of equation: x – 2y = 0; 3x + 4y = 20

x – 2y = 0;

-2y = -

y =
x
x-2y = 0
x
y =
x
2
x,y
0 (0,)
2
2
 =
(2,)
4
2
 =
(4,)
-6
-
2
 = -
(-6,-)
-8
-
2
 = -
(-8,-)

3x + 4y = 20

4y = 20 – 3

y =
20-3
3x+4y = 20
x
y =
20-3x
4
(x,y)
0
20 - 3 . 0
4
 =
(0,)
4
20 - 3.4
4
 =
20 -
4
 =
4
 =
(4,)

The two lines meet at (, ).

The solution set is {(, )}