Write as a Vector Equality q-p=1 , q+p=7

Problem

{[q−p=1],[q+p=7])

Solution

1. Identify the system of linear equations as a relationship between two variables, p and q

2. Represent the left-hand side of the equations as a linear combination of the vectors associated with the variables q and p

3. Extract the coefficients of q to form the first vector ([1],[1]) and the coefficients of p to form the second vector ([−1],[1])

4. Equate the resulting vector sum to the vector of constants from the right-hand side of the equations, ([1],[7])

Final Answer

q*([1],[1])+p*([−1],[1])=([1],[7])

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