1. To solve the system $4x - 3y = 10$ and $2x + 9y = 14$ by elimination, what constant should you multiply the first equation by to eliminate the $y$-variable?
2. To eliminate the $x$-variable in the system $3x + 4y = 5$ and $5x + 6y = 7$, what constants should the first and second equations be multiplied by, respectively?
3. Solve the system of equations for $x$: $4x + 3y = 1$ $3x + 2y = 2$ The value of $x$ is ___.
4. Solve the system of equations for $y$: $3x + 5y = 4$ $x + 2y = 2$ The value of $y$ is ___.
5. Find the $y$-coordinate of the solution to the system of equations: $5x - 2y = 4$ $2x + 3y = 13$ The $y$-coordinate is ___.
6. Solve the system of equations: $$ \begin{cases} 6x - 5y = -1 \\ 2x + y = 13 \end{cases} $$ The solution is the ordered pair ___.
7. Solve the system of equations: $$ \begin{cases} 3x - 2y = 1 \\ 2x + y = 9 \end{cases} $$ The solution is the ordered pair ___.
8. Solve the system of equations: $$ \begin{cases} -x + 4y = 8 \\ 3x + 5y = 10 \end{cases} $$ The solution is the ordered pair ___.