Question

2x + 3y = 9
and 5x +2y = 6
(by elimination method)​

Answer 1

Answer:

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

5x +2y = 6 ---------(2)

5( 2x + 3y = 9)

10 x + 15 y = 45 ----------(3)

2( 5x +2y = 6)

10 x + 4 y = 12 -----------(4)

Now, subtract eq. (4) from (3)

10 x + 15 y = 45

- 10 x + 4 y = 12

_______________

11 y = 23

y = 23/11

From eq. 4 or 3, let's take eq 4

10 x + 4 y = 12

10x + 4* 23/11 = 12

10 x + 92/11 = 12

(110x +92) /11 = 12

110x+92= 132

110x = 132-92

x = 40/110 = 4/11