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Mathematics

Abscissa of a point is the solution of equation 3x - 2 = 7 and its ordinate is the solution of equation 8 - 3y = 2. The point is :

  1. (3, 2)

  2. (-3, 2)

  3. (3, -2)

  4. (-3, -4)

Coordinate Geometry

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Answer

Given:

3x - 2 = 7

⇒ 3x = 7 + 2

⇒ 3x = 9

⇒ x = 93\dfrac{9}{3}

⇒ x = 3

And, 8 - 3y = 2

⇒ 3y = 8 - 2

⇒ 3y = 6

⇒ y = 63\dfrac{6}{3}

⇒ y = 2

Therefore, the co-ordinates of the point = (3, 2).

Hence, option 1 is the correct option.

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