Question

दिलेलं एकसामयिक समीकरण सोडवा: 2x - 3y = 9; 2x + y = 13

Answer 1

2x - 3y = 9 -----------------(1)
2x + y = 13 ------------------(2)

subtracting equation no. 1 from 2
2x + y = 13
- 2x - 3y = 9
------------------
4y = 4
y = 4

put y = 4 in equation no. 2
2x + 4 = 13
2x = 9
x = 9/2
x = 4.5

(x,y) = (4.5,4) is the soln of given problem

Answer 2

2x – 3y = 9 .....(I)

2x + y = 13 .....(II)

Subtracting (II) from (I) we get

– 3y − y = 9 − 13

⇒−4y = -4

⇒y =-4 / -4

⇒y = 1

⇒y = 1

Putting this value in (I) we get

2x−3(1)=9

⇒2 x - 3 =9

⇒2x=9+3

⇒ 2x = 12

⇒x= 12 / 2

⇒x =6

⇒x =6

Thus, (x, y) = (6, 1)