Write as a Vector Equality 4x-y=7 , x+y=3

Problem

{[4*x−y=7],[x+y=3])

Solution

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

2. Separate the variables into a linear combination of vectors by multiplying each variable by its corresponding vector of coefficients.

3. Equate the resulting linear combination to the vector formed by the constants on the right side of the equations.

Final Answer

x*[[4],[1]]+y*[[−1],[1]]=[[7],[3]]

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