linear eqution in two variable solution by graphical method

Q-1. Solve each of the following of equation graphically
(i) 2x+3y = 2
(ii) x-2y = 8

Solution-: 2x+3y = 2  ...(i)
⇒ 2x = 2-3y
⇒ x = (2-3y)/2
Equation 2x+3y =2 ke liye table:

	A	B	C
X	1	4	7
Y	0	-2	-4

And x-2y = 8   ...(ii)
⇒ x = 8+2y
Equation x-2y = 8 ke liye table:

	D	E	F
X	2	4	6
Y	-3	-2	-1

Ab hum inn dono table ki value se graph banate hai.

Graph banane par hum dekhte hai ki dono eq(i) and eq(ii) ki line ek dusre ko point P(4,-2) par katata hai.
Isliye yehi point P(4,-2) dono equation ka solution hai.
So x = 4 and y = -2

Q-2. 3x+2y = 4
        2x - 3y = 7
Solution-: 3x+2y = 4  ...(i)
⇒ 3x = 4-2y
⇒ x = (4-2y)/3
Equation 3x+2y =4 ke liye table:

	A	B	C
X	2	4	6
Y	-1	-4	-7

And 2x-3y = 7  ...(ii)
⇒ 2x = 7+3y
⇒ x = (7+3y)/2
Equation 2x-3y = 7 ke liye table:

	D	E	F
X	2	5	8
Y	-1	1	3

Dono table ki help se graph banane par:

Graph me dono equation ki line ek-dusre ko point P(2,-1) par cut karte hai . Isliye solution of the linear equation is x = 2 and y = -1