Question 240135
Several ways to do this. The sinplest is to plug the value given for y in the second equation, into the first equation and then solving for the remaining variable
{{{3x-2y = 2}}}
{{{y = 2x+8}}} plug this value for y into the first equation

{{{3x-2(2x+8)=2}}}  simplify and collect terms
{{{3x -4x -16 = 2}}}
{{{x = -18}}}
Now that you have a value for x, plug that in to either original equation and solve for y
{{{y = 2x+8}}}
{{{y = 2*(-18) + 8}}}
{{{y = -36+8}}}
{{{y = -28}}}

You can also plot the two equation and see where they intersect
{{{graph(400,600, -50, 50, -50,50, 2x+8, 1.5x-1)}}}