Question

Solve the following systems of equations:
1/(5x) + 1/(6y) = 12
1/(3x) – 3/(7y) = 8 X ≠ 0 Y ≠ 0

Answer 1

x = 89/4080 & y = 89/1512

Step-by-step explanation:

let say  u = 1/x   & v = 1/y

then   u/5  + v/6  = 12

=> 6u + 5v = 360   Eq1

u/3 - 3v/7  = 8

=> 7u  - 9v = 168    Eq2

9*Eq2 + 5*eq1  

54u + 35u  = 3240  + 840

=> 89u = 4080

=> u = 4080/89

=> x = 89/4080

7*Eq1 - 6 * eq2

=> 35v + 54v  = 2520  - 1008

=> 89v  = 1512

=> v = 1512/89

=> y = 89/1512

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