Write as a Vector Equality x+by=5 , x+5y=b

Problem

{[x+b*y=5],[x+5*y=b])

Solution

1. Identify the coefficients of the variables x and y in each equation of the system.

2. Represent the system as a linear combination of two vectors, where x and y are the scalar weights.

3. Extract the coefficients of x to form the first vector: ([1],[1])

4. Extract the coefficients of y to form the second vector: ([b],[5])

5. Set the linear combination equal to the vector of constants from the right-hand side of the equations: ([5],[b])

Final Answer

x*([1],[1])+y*([b],[5])=([5],[b])

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