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:
And x-2y = 8 ...(ii)
⇒ x = 8+2y
Equation x-2y = 8 ke liye table:
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:
And 2x-3y = 7 ...(ii)
⇒ 2x = 7+3y
⇒ x = (7+3y)/2
Equation 2x-3y = 7 ke liye table:
(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:
⇒ x = 8+2y
Equation x-2y = 8 ke liye table:
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:
⇒ 2x = 7+3y
⇒ x = (7+3y)/2
Equation 2x-3y = 7 ke liye table:
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
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