the given expressions are,
12x + 2y = 16 ...... (1)
16x - 10y = 15 ........(2)
multiply the equation (1) by 5
60x + 10y = 80
16x - 10y = 15
add both the equations,
60x + 16 x + 10y - 10y = 80 + 15
76x = 95
x = 95/76
divide numerator and denominator by 19
x = 5/4
x = 1.25
put x = 5/4
in equation (1)
12(5/4) + 2y = 16
2y = 16 - 15
2y = 1
y = 1/2
y = 0.5
thus, the answer is
x = 5/4 or 1.25
y = 1/2 or 0.5