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

Problem

3*x−y=6,y=3

Solution

1. Identify the system of linear equations provided in the task.

3*x−y=6

0*x+1*y=3

2. Rewrite the equations in a form that separates the variables x and y into distinct columns.

x*([3],[0])+y*([−1],[1])=([6],[3])

3. Express the system as a single vector equality by combining the scalar multiples of the column vectors.

([3*x−y],[y])=([6],[3])

Final Answer

([3*x−y],[y])=([6],[3])

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