Question 74722
Solve both equations for y
{{{3x-6y=9}}}
{{{-6y=9-3x}}}
{{{y=-9/6+(3/6)x}}}
{{{y=-3/2+(1/2)x}}}
{{{x-2y=3}}}
{{{-2y=3-x}}}
{{{y=-3/2+(1/2)x}}}
Notice how it's identical to the first equation. This means they are the same line and will have an infinite number of solutions

{{{ graph( 300, 200, -6, 5, -10, 10, -3/2+(1/2)x,-3/2+(1/2)x) }}}