Write as a Vector Equality y=-1/2x+3 , y=x+3

Problem

{[y=−1/2*x+3],[y=x+3])

Solution

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

1/2*x+y=3

−x+y=3

2. Express the system of equations as a single vector equation by separating the coefficients of x and y into column vectors.

x*([1/2],[−1])+y*([1],[1])=([3],[3])

3. Alternative representation can be written using the variable vector ([x],[y]) and a coefficient matrix.

([1/2,1],[−1,1])*([x],[y])=([3],[3])

Final Answer

x*([1/2],[−1])+y*([1],[1])=([3],[3])

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