Write as a Vector Equality y=-x-5 , y=x+4

Problem

{[y=−x−5],[y=x+4])

Solution

1. Identify the system of linear equations and rewrite them in the standard form A*x+B*y=C

x+y=−5

−x+y=4

2. Express the system as a linear combination of constant vectors by separating the variables x and y

x*([1],[−1])+y*([1],[1])=([−5],[4])

3. Rewrite the system as a single vector equality using the vector variable v=([x],[y]) and a coefficient matrix.

([1,1],[−1,1])*([x],[y])=([−5],[4])

Final Answer

([1,1],[−1,1])*([x],[y])=([−5],[4])

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