Write as a Vector Equality x+y=11 , 3x-7y=-37 , -x+6y=38

Problem

{[x+y=11],[3*x−7*y=−37],[−x+6*y=38])

Solution

1. Identify the coefficients of the variable x in each equation to form the first column vector.

2. Identify the coefficients of the variable y in each equation to form the second column vector.

3. Identify the constants on the right side of the equations to form the resultant vector.

4. Express the system as a linear combination of the column vectors multiplied by their respective variables.

Final Answer

x*[[1],[3],[−1]]+y*[[1],[−7],[6]]=[[11],[−37],[38]]

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