Write as a Vector Equality 2a-b=-8 , 2a+b=8

Problem

{[2*a−b=−8],[2*a+b=8])

Solution

1. Identify the coefficients of the variables a and b in each equation to form the column vectors.

2. Express the left side of the system as a linear combination of two vectors, where a and b are the scalar weights.

3. Set the resulting vector sum equal to the vector of constants from the right side of the equations.

Final Answer

a*([2],[2])+b*([−1],[1])=([−8],[8])

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