1.

If 2x + 3y = 12 and 4x – 5y = 2 then find the value of x and y respectively.1. 2, 32. 3, 23. 3, 54. 5, 3

Answer» Correct Answer - Option 2 : 3, 2

Given:

2x + 3y = 12      ----(i)

4x – 5y = 2      ----(ii)

Calculations:

Multiplying (i) by 2,

⇒ 4x + 6y = 24      ----(iii)

Subtracting (ii) from (iii),

⇒ 6y – (-5y) = 22

⇒ 6y + 5y = 22

⇒ 11y = 22

⇒ y = 2

Substituting the value of y in (i),

⇒ 2x + (3 × 2) = 12

⇒ 2x + 6 = 12

⇒ 2x = 6

⇒ x = 3

∴ The value of x and y are 3 and 2 respectively.


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