The solution to the simultaneous equations 3x + 5y = 4, 4x + 3y =…

The solution to the simultaneous equations 3x + 5y = 4, 4x + 3y = 5 is
  • A.
    ((frac{-13}{11}, frac{1}{11}))
  • B.
    ((frac{13}{11}, frac{1}{11}))
  • C.
    ((frac{13}{11}, frac{-1}{11}))
  • D.
    ((frac{11}{13}, frac{1}{11}))
  • E.
    (13, 11)
Correct Answer: Option B
Explanation

3x + 5y = 4, 4x + 3y = 5
3x + 5y = 4 x 4
4x + 3y = 5 x 3
12x + 20y = 16…..(i)
12x + 9y = 15…….(ii)
subtract eqn.(ii) from eqn.(i)
11y = 1
y = (frac{1}{11})
12x + 20 x (frac{1}{11}) = 16
12x = (frac{156}{11})
x = (frac{13}{11})
= (frac{13}{11}, frac{1}{11})

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