Write as a Vector Equality -x+y=-6 , y=2

Problem

−x+y=−6,y=2

Solution

1. Identify the variables and constants in the system of linear equations. The variables are x and y

2. Rewrite the equations so that all variables are aligned on the left side. The system is already in this form:

−1*x+1*y=−6

0*x+1*y=2

3. Express the system as a linear combination of vectors by separating the coefficients of x and y into distinct column vectors.

4. Formulate the vector equality by setting the sum of the scaled variable vectors equal to the constant vector on the right side.

Final Answer

x*[[−1],[0]]+y*[[1],[1]]=[[−6],[2]]

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