\( p - \frac { q } { 5 } > \frac { 3 } { 2 } + 8 \)

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

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?

Determine which ordered pair(s) are solutions to the following system. \[ \begin{array}{lll}y=4 x-2 \\ y=-x+23 & (5,18) & (3,-10)\end{array}(2,21) \]

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

A. \( 4 x^{2} y\left(x z^{2}+5 w x y+3\right) \).