Question

Solve the following systems of equations :
2/x + 3/y = 13
5/x – 4/y = –2

Answer 1

Answer:

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Answer 2

x = 1/2 ; y = 1/3

Step-by-step explanation:

Given linear equations are:

2/x + 3/y = 13

5/x – 4/y = –2

Let 1/x = u and 1/y = v, we get:

2u + 3v = 13 -------------(1)

5u - 4v = -2 -------------(2)

(1)*5 will be 10u + 15v = 65 -----------(3)  

(2)*2 will be 10u -  8v = -4 -----------(4)

Subtracting (4) from (3), we get: 23v = 69

Therefore v = +3

Substituting in v = 3 equation 1, we get 2u + 9 = 13

Therefore u = 2

u = 1/x = 2, so we get x = 1/2.

v = 1/y = 3, so we get y = 1/3.

Hence solved.