Write as a Vector Equality x=3/(7y) , 3x-y=2

Problem

{[x=3/(7*y)],[3*x−y=2])

Solution

1. Identify the system of equations. The first equation is x=3/(7*y) and the second is 3*x−y=2

2. Rearrange the first equation into a standard linear form if possible. Multiplying both sides by 7*y gives 7*x*y=3

3. Observe that the first equation is non-linear because it involves the product of variables x*y

4. Represent the system as a single vector equation by grouping the left-hand sides and right-hand sides into column vectors.

5. Construct the vector equality by setting the vector of expressions equal to the vector of constants.

Final Answer

[[7*x*y],[3*x−y]]=[[3],[2]]

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