Write as a Vector Equality x+y=10 , x-y=4

Problem

{[x+y=10],[x−y=4])

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 vectors by multiplying each variable by its corresponding coefficient vector.

3. Equate the resulting vector sum to the vector of constants from the right side of the equations.

4. Combine the terms into a single vector equality where the components of the left vector match the components of the right vector.

Final Answer

([x+y],[x−y])=([10],[4])

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