Question 3402
First convert decimal into fractions:

So, first equation becomes:
    {{{3x - 5y/2 = 57/8}}}

On multiplying both sides by 8:
    {{{24x - 20y = 57}}}


and, second equation becomes:
    {{{5x/2 - 3y = 117/16}}}

on multiplying both sides by 16:
    {{{40x - 48y = 117}}}

Now, equations are:
    {{{24x - 20y = 57}}}   ... (1)
    {{{40x - 48y = 117}}}  ... (2)

Solve in usual steps to get x = 9/8 and y = -3/2