2. Solve the system by Elimination.
$$\begin{array}{l}8x+6y=2\\ 6x+4y=4\end{array}$$

Step 1 ：The system of equations is: $8x+6y=2$ and $6x+4y=4$

Step 2 ：Subtract the second equation from the first to eliminate y: $(8x+6y)-(6x+4y)=2-4$

Step 3 ：This simplifies to: $2x+2y=-2$

Step 4 ：Simplify this equation by dividing every term by 2: $x+y=-1$

Step 5 ：Substitute $x=-1-y$ into the second equation of the original system: $6(-1-y)+4y=4$

Step 6 ：This simplifies to: $-6-6y+4y=4$

Step 7 ：Simplifying further gives: $-2y=10$

Step 8 ：Dividing by -2 gives: $y=-5$

Step 9 ：Substitute $y=-5$ into $x+y=-1$ gives: $x=-1-(-5)=4$

Step 10 ：So the solution to the system of equations is $\boxed{{\displaystyle x=4}}$, $\boxed{{\displaystyle y=-5}}$