Write as a Vector Equality y=x+4 , y=3x-1

Problem

{[y=x+4],[y=3*x−1])

Solution

1. Rearrange each equation into standard form a*x+b*y=c to align the variables.

x−y=−4

3*x−y=1

2. Identify the coefficients of x and y to form the column vectors for the left side of the equality.

([1],[3])*x+([−1],[−1])*y=([−4],[1])

3. Rewrite the system as a single vector equation by expressing the left side as a linear combination of vectors.

x*([1],[3])+y*([−1],[−1])=([−4],[1])

Final Answer

x*([1],[3])+y*([−1],[−1])=([−4],[1])

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