Write as a Vector Equality (2x+y)=a+9 , (x-2y)=b-2

Problem

(2*x+y)=a+9,(x−2*y)=b−2

Solution

1. Identify the components of the vector equality by grouping the left-hand sides and the right-hand sides of the given equations.

2. Construct the vectors by placing the expressions from the first equation into the first component and the expressions from the second equation into the second component.

3. Equate the two resulting vectors to form a single vector equation.

Final Answer

([2*x+y],[x−2*y])=([a+9],[b−2])

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