Solve the following system by the elimination method. \( \begin{array}{r}x+y=8 \\ 4 x-y=7\end{array} \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. \( \begin{array}{l}\text { A. The system has a single solution. The solution set is }\} \text {. There an ordered pair, using integers or fractions.) } \\ \text { B. There infinitely many solutions. The solution set is }\{(x, y) \mid \square \text {. } \\ \text { (Type an equation. Type your answer in standard form.) } \\ \text { C. The solution set is the empty set. }\end{array} \)

b. Two consecufive number are sucl that the sum of thrice the smaller and twice the larger is 17. Find, correct to three significant figures the smaller number as a percen - tage of the sum of the. two numbers.

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

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. \[ \begin{aligned} 4 x+3 y & =-14 \\ 2 x-y & =-12\end{aligned} \]

(a) Find the solution for \( |2 x+1|+3=5 \). Select the correct choice below, and fill in the answer box if necessary. A. The solution set is the finite set of real numbers \( \{ \). (Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The solution set is the interval (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)

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