Write as a Vector Equality 7a+2b=9 , 9a-8b=7

Problem

{[7*a+2*b=9],[9*a−8*b=7])

Solution

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

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

3. Equate this linear combination to the vector formed by the constants on the right side of the equations.

Final Answer

a*[[7],[9]]+b*[[2],[−8]]=[[9],[7]]

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