Write as a Vector Equality x+2y=-11 , 2x+3y=-17

Problem

{[x+2*y=−11],[2*x+3*y=−17])

Solution

1. Identify the coefficients of the variables x and y on the left side of the system of equations.

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

3. Group the constants from the right side of the equations into a single resultant vector.

4. Construct the final vector equality by setting the sum of the variable-scaled vectors equal to the constant vector.

Final Answer

x*[[1],[2]]+y*[[2],[3]]=[[−11],[−17]]

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