Question

4/x+3y=14 and 3/x-4y=23​

Answer 1

Step-by-step explanation:

Let 1/x be a. So, the equations will become,

4a+3y = 14 -----(1)

3a-4y = 23 -----(2)

Multiplying (1) by 4 and (2) by 3 and adding them,

16a+12y + 9a-12y = 56 + 69

=> 25a = 125

=> a = 5

=> x = 1/5

From (1),

4 * 5 + 3y = 14

=> 20 + 3y = 14

=> 3y = -6

=> y = 2

So, the answer is x = 1/5 and y = 2.

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