Question

2x+3y=6,2x-3y=6 by elimination

Answer 1

2x+3y=6

2x-3y=6

_________

4x=12

x=3

now,

2(3)+3y=6

6+3y=6

3y=0

y=0

Answer 2

$2x + 3y = 6 \: \: \: \: ...(i) \\ 2x - 3y = 6 \: \: \: \: ...(ii) \\ \\ adding \: eq. \: ( i) \: and \: (ii) \\ \: 2x + 3y = 6 \\ \: 2x - 3y = 6 \\ \frac{}{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \: \: \: \: \: \: \: \: \: \: 4x = 12 \\ = > \: \: \: x = \frac{12}{4} \\ = > \: \: \: \boxed{ x = 3} \\ \\ Substituting \: the \: value \: of \: x \: in \: eq. \: (i) \\ \: \: \: \: \: \: \: 2(3) + 3y = 6 \\ = > \: \: \: \: 6 - 3y = 6 \\ = > \: \: \: \: \: \: \: \: \: \: \: \: 3y = 0 \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{y = 0} \\ So, \: x = 3 \: and \: y = 0$