Solve the System by Using Any Method $$\begin{array} { l } 2 ( 3 x + y ) = y - x + 8 \\x - \frac { 4 } { 3 } y = \frac { 2 } { 3 }\end{array}$$

question 99

Multiple Choice

Solve the system by using any method. If a system does not have one unique solution, state whether the
system is inconsistent or whether the equations are dependent.
- $$\begin{array} { l } 2 ( 3 x + y ) = y - x + 8 \\x - \frac { 4 } { 3 } y = \frac { 2 } { 3 }\end{array}$$

• A) \(\left\{ \left( - \frac { 22 } { 93 } , \frac { 10 } { 31 } \right) \right\}\)
• B) \(\left\{ \left( \frac { 34 } { 31 } , \frac { 10 } { 31 } \right) \right\}\)
• C) \(\left\{ \left\{ - \frac { 22 } { 93 } , \frac { 14 } { 31 } \right) \right\}\)
• D) \(\left\{ \left( \frac { 34 } { 31 } , \frac { 14 } { 31 } \right) \right\}\)

---

Definitions:

Montessori

An educational approach that emphasizes self-directed activity, hands-on learning, and collaborative play to facilitate learning.

Reggio Emilia

A program of early-childhood education that originated in the town of Reggio Emilia, Italy, and that encourages each child’s creativity in a carefully designed setting.

Bilingual Program

An educational program that teaches students in two languages, aiming to develop proficiency in both.

Intervention

The act of stepping in or interfering in a situation, usually to prevent harmful consequences or to provide help.