Write as a Vector Equality -a-2b=8 , -3a-6b=-24

Problem

−a−2*b=8,−3*a−6*b=−24

Solution

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

2. Extract the coefficients of a from the left side of both equations to create the first vector: ([−1],[−3])

3. Extract the coefficients of b from the left side of both equations to create the second vector: ([−2],[−6])

4. Identify the constants on the right side of the equations to create the result vector: ([8],[−24])

5. Combine these into a single vector equation where the scalars a and b multiply their respective coefficient vectors.

Final Answer

a*([−1],[−3])+b*([−2],[−6])=([8],[−24])

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