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Solve the simultaneous linear equations: 2x + 5y = 11, 7x + 4y = 2

Solve the simultaneous linear equations: 2x + 5y = 11, 7x + 4y = 2
  • A.
    x = -8, y = 1
  • B.
    x = -2, y = 4
  • C.
    x = (frac{-34}{27}), y = (frac{73}{27})
  • D.
    x = 7, y = -9
Correct Answer: Option C
Explanation

2x + 5y = 11…….(i)
7x + 4y = 2…….(ii)
(i) x 7 (to) 14x + 35y = 77………(iii)
(ii) x 2 (to) 14x + 8y = 4……..(iv)
(iii) – (iv)
27y = 73
y = (frac{73}{27})