Find the intersection point of boundaries for this system of equations: y = 3x - 2 and x = -2y + 10. Then state whether that intersection point could be included in the system solution if the system is: y ≥ 3x - 2 and x ≤ -2y + 10.

• A. (2,4); yes, because substituting shows both inequalities are true at that point.
• B. (4,2); yes, because swapping coordinates is a standard solution when converting x-oriented equations.
• C. (2,4); no, because intersection points of boundaries are never included if one of the boundaries is written as x = ... rather than y = ....
• D. No intersection exists because the converted slopes are negative reciprocals and therefore will be parallel after conversion.

Answer: (A)