Solution
Given
2y + 7x = -5 -----(1)
5y - 7x = 12 -------(2)
adding (1) + (2)
7y = -5 + 12
=> 7y = 7
=> y = 1
Substituting 1 = y in equation (1)
2y + 7x = -5
=> 2 + 7x = -5
subtracting 2 from both sides
=> 7x = -5 -2
=> 7x = -7
=> x = -1
Hence, x = -1 and y = 1