Write as a Vector Equality 3a=2-b , 3a=5-b

Problem

3*a=2−b,3*a=5−b

Solution

1. Identify the given equations as a system of vector equations where a and b represent vectors.

2. Rearrange the first equation to isolate the constant by adding b to both sides.

3*a+b=2

3. Rearrange the second equation similarly to isolate its constant.

3*a+b=5

4. Observe the contradiction in the system, as the same vector expression 3*a+b cannot equal two different scalar values simultaneously.

5. Conclude that the system represents a set of inconsistent vector equalities.

Final Answer

3*a+b=2,3*a+b=5

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