Question 75195
Just plug in the ordered pairs one by one to see if they make the equation true. If so, then they are a solution.

{{{3u-2v+12=0}}}Plug in (-6,8)
{{{3(-6)-2(8)+12=0}}}
{{{-18-16+12=0}}}
{{{-34+12=0}}}
{{{22=0}}} which is not true. So it is not a solution


{{{3u-2v+12=0}}}Plug in (-4,0)
{{{3(-4)-2(0)+12=0}}}
{{{-12-0+12=0}}}
{{{0=0}}} which is true. So it is a solution

{{{3u-2v+12=0}}}Plug in (18,25)
{{{3(18)-2(25)+12=0}}}
{{{54-50+12=0}}}
{{{4+12=0}}}
{{{16=0}}} which is not true. So it is not a solution
 


{{{3u-2v+12=0}}}Plug in (27,41)
{{{3(27)-2(41)+12=0}}}
{{{81-82+12=0}}}
{{{-1+12=0}}}
{{{11=0}}} which is not true. So it is not a solution


So the only solution is (-4,0)