Consider the following pair of linear equations in two variables.
`{:(5x+8y=59,2x+3y=23):}`
A student tries to solve these equations by the elimination method and follows the given steps.
Step I : `[5x+8y=59]xxa`
Step II : `[2x+3y=23]xxb`
The students applies this method to eliminate variable `x`.

Steps I and II are (i) and (ii) respectively.
Consider the following statements.
(i) The values of `x` and y are `7` and `3` respectively.
(ii) The values of a and b are `5` and `2` respectively.
(iii) Equation (i) is `2x+15y=25`
(iv) Equation (ii) is `10x+15y=115`
with respect to the given equations, which two statements are correct ?

Options

A. (ii) and (iii)
B. (i) and (iii)
C. (i) and (iv)
D. (ii) and (iv)