Question 1064998
Choice E
{{{-1<c<3/2}}}


If using Elimination Method to find x and y,
{{{system(x=5/(c+1),y=(3-2c)/(c+1))}}}


x and y both must be positive for quadrant 1.


{{{x=5/(c+1)>0}}}
{{{c+1>0}}}
{{{c>-1}}}



{{{y=(3-2c)/(c+1)>0}}}


If choosing numerator and denominator both positive,
{{{system(3-2c>0,AND,c+1>-1)}}}


{{{c<3/2}}} and {{{c>-1}}}


{{{-1<c<3/2}}}


Trying both numerator and denominator as negative will not work.