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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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 = \(\frac{73}{27}\)
Source: Myschool Past Questions Archive (Record #32668)