<PRE><B>Question 230125</B>
Well your first question is what is the difference between elimination and substitution.  Well for the substitution method you solve an equation for a particular variable and then substitute that equation into the other one and solve.  With elimination you multiply an equation by a number and then add the two equations together and solve that way.&lt;br&gt;  

So now to solve the system using substitution.&lt;br&gt;

3x-y=6
-4x+2y=-8&lt;br&gt;

Since equation 1 has y by its self  lets solve it for y.  &lt;br&gt;

3x-y=6
-y = -3x+6
y = 3x-6&lt;br&gt;

okay now plug that expression into the second equation and solve for x.&lt;br&gt;

-4x+2(3x-6)=-8&lt;br&gt;

I will leave you to solve that equation but you should get x=2.&lt;br&gt;

Now we plug our answer for x back into the expression and solve for y.&lt;br&gt;

y = 3x-6
y = 3(2)-6 = 0&lt;br&gt;

so the solution to your system is (2,0).</PRE>