Write as a Vector Equality 5x+2y=-5 , -2x-2y=-16

Problem

{[5*x+2*y=−5],[−2*x−2*y=−16])

Solution

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

2. Express the system as a linear combination of the variable x multiplied by its coefficient vector and the variable y multiplied by its coefficient vector.

3. Equate this sum to the vector containing the constants from the right-hand side of the equations.

Final Answer

x*[[5],[−2]]+y*[[2],[−2]]=[[−5],[−16]]

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