Solve the following equation: 4x + 6/y = 15. 6x - 8/y = 14, y ≠ 0

Solution:

From the above question, we have the linear equations as,

4x + 6/y = 15.--------------------(1)

6x - 8/y = 14.---------------------(2)

Consider u = 1/y,

Rearranging the above equation, we get,

4x + 6u = 15----------------------------(3)

6x - 8u = 14----------------------(4)

Multiplying (3) by 8 and (4) by 6 and Adding, we get,

68x = 204

x = 3.

Substituting the value of x in(3),we get,

4x³ + 6u = 15

6u = 15 - 12

6u = 3

u = 1/2 = 1/y = 1/2

y = 2.

x = 3.

y = 2.

Therefore, the values of x and y are 3 and 2, respectively

✦ Try This: Solve the following equation: 4x + 6/y = 13. 6x - 8/y = 12, y ≠ 0

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 3

NCERT Exemplar Class 10 Maths Exercise 3.3 Problem 9 (iii)

4x + 6/y = 15. 6x - 8/y = 14, y ≠ 0, solve the equation

Summary:

Solving the following equation 4x + 6/y = 15. 6x - 8/y = 14, y ≠ 0, we get the required values of x and y as 3 and 2, respectively

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