Write as a Vector Equality 3x-y=0 , 3x+y=6

Problem

{[3*x−y=0],[3*x+y=6])

Solution

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

2. Separate the variables x and y by expressing the system as a linear combination of these column vectors.

3. Set the linear combination equal to the vector of constants from the right-hand side of the equations.

4. Construct the final vector equality by placing the coefficients of x into one vector and the coefficients of y into another.

Final Answer

x*[[3],[3]]+y*[[−1],[1]]=[[0],[6]]

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