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Mathematics

The lines y - 2 = 0 and 2x + 3y = 12 cut each other at point :

  1. (-3, 2)

  2. (3, -2)

  3. (-3, -2)

  4. (3, 2)

Graphical Solution

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Answer

y - 2 = 0

⇒ y = 2

And, 2x + 3y = 12

⇒ 2x + 3 x 2 = 12

⇒ 2x + 6 = 12

⇒ 2x = 12 - 6

⇒ 2x = 6

⇒ x = 62\dfrac{6}{2}

⇒ x = 3

Hence, the lines y - 2 = 0 and 2x + 3y = 12 cut each other at point (3, 2).

Hence, option 4 is the correct option.

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