Write as a Vector Equality x+y=9 , x-y=1

Problem

{[x+y=9],[x−y=1])

Solution

1. Identify the coefficients of the variables x and y in each equation to form the column vectors.

2. Express the left side of the system as a linear combination of two vectors, one scaled by x and the other scaled by y

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

4. Combine the terms into a single vector equality by performing vector addition on the left side.

Final Answer

x*[[1],[1]]+y*[[1],[−1]]=[[9],[1]]

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