Question

If 2x + 3y = 12 and 3x – 2y = 5 then

पर्याय

• x = 2, y = 3

• x = 2, y = –3

• x = 3, y = 2

• x = 3, y = –2

Answer 1

x = 3, y = 2

Explanation:

Multiply 2x + 3y = 12 by 2 and 3x – 2y = 5 by 3 to eliminate y:

4x + 6y = 24

9x – 6y = 15 

Add the two equations:

13x = 39

⇒ x = 3

Substitute x = 3 into 2x + 3y = 12:

6 + 3y = 12 

⇒ 3y = 6 

⇒ y = 2