1. Given the system of equations $y = 3x - 2$ and $2x + y = 13$, what is the value of $x$? The value of $x$ is ___.
2. To solve the system $3a + 4b = 20$ and $a - 2b = 0$ by substitution, what is the most efficient first step?
3. Solve the system of equations: $x + 2y = 10$ and $x - y = 1$. What is the value of $y$? The value of $y$ is ___.
4. Consider the system $3x + 2y = 10$ and $x - y = 1$. Using the substitution method, what is the value of $y$? The value of $y$ is ___.
5. What is the solution $(x, y)$ to the system of equations $x = 4y - 1$ and $2x + 3y = 13$?
6. For which system of equations is substitution most efficient because one equation is already solved for a variable?
7. In which system is substitution efficient because a variable has a coefficient of 1 or -1, making it easy to isolate?
8. To solve the system $\begin{cases} 4x - y = 11 \\ 2x + 3y = 5 \end{cases}$ using substitution, you can first isolate $y$ in the first equation. What is $y$ in terms of $x$? $y = $ ___
9. True or False: For the system $\begin{cases} 5x + 2y = 9 \\ 3x - 4y = 1 \end{cases}$, substitution is the most efficient method to use.
10. Consider the system $\begin{cases} x + 8y = 10 \\ 3x - 5y = 14 \end{cases}$. To use substitution, you can solve the first equation for $x$. What is $x$ in terms of $y$? $x = $ ___