Write as a Vector Equality x+2y=4 , 3x-y=5

Problem

{[x+2*y=4],[3*x−y=5])

Solution

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

2. Separate the variables from their coefficients by expressing the system as a linear combination of vectors.

3. Group the constants on the right side of the equations into a single constant vector.

4. Construct the vector equality by setting the sum of the variable vectors equal to the constant vector.

Final Answer

x*[[1],[3]]+y*[[2],[−1]]=[[4],[5]]

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