If Cobb- Douglas demand functions for x and y are given by x* = m/3p_xand y* = 2m/3p_ythensubstitution effect would cause consumer to buy 12.5 more units of x ifp_xfalls from $2 to $1, while income m and p_yremains constant at $90 and $1 respectively.

Is this true or false? if false then why? explain briefly.