Write as a Vector Equality x-15=27 , x=-27+15 , x=-12

Problem

x−15=27,x=−27+15,x=−12

Solution

1. Identify the components of the given equations to represent them as a single vector equation.

2. Define the vector of variables and the vector of constants based on the structure of the linear system.

3. Express the relationship using vector notation where the left-hand side vector equals the right-hand side vector.

4. Verify that the vector equality [[x−15],[x],[x]]=[[27],[−27+15],[−12]] correctly maps each scalar equation to its corresponding vector row.

Final Answer

[[x−15],[x],[x]]=[[27],[−27+15],[−12]]

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