Solve the following system by the substitution method. Check the solution. \[ \begin{array}{l}6 x+5 y=45 \\ x=y+2\end{array} \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. \( \begin{array}{l}\text { A. The system has a single solution. The solution set is }\} \text {. There are infinitely many solutions. The solution set is } \\ \text { (Simplify your answer. Type an ordered pair.) } \\ \text { B(x,y)|6x + } 5 y=45\} \text {. }\end{array} \)

4) Dado el dominio de cada función, determina el recorrido. \( \begin{array}{ll}\text { a. } f(x)=20 x \text { y } \operatorname{Dom}(f)=\{0,1,2,3\} & \text { b. } g(x)=-5 x \text { y } \operatorname{Dom}(g)=\{0,3,6,9\} \\ \text { c. } h(x)=x-3 \text { y } \operatorname{Dom}(h)=\{-2,-1,0,1\} & \text { d. } j(x)=3 x+4 \text { y } \operatorname{Dom}(j)=\{0,5,10,15\}\end{array} \)

Solve the following system of equations by the addition method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent. \[ \begin{aligned} 4 x+3 y & =-14 \\ 2 x-y & =-12\end{aligned} \]

5) Sea una función lineal cuya gráfica pasa por los puntos \( (6,3) \) y \( (-2,-1) \). a) Determine la función b) ¿Cuál es el valor de \( f(-3) \) y de \( f(8) \) ? c) ¿Es creciente o decreciente?

23. Reasoning Twenty of the students in Hannah's class, or \( 80 \% \) of the class, voted to have pizza fol lunch every Wednesday. How many students are in Hannah's class?

Solve the equation by factoring. \[ x^{2}=7 x-12 \]