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

Problem

{[y=x+2],[y=2*x+1])

Solution

1. Rewrite each equation in standard form a*x+b*y=c by moving the variables to the left side and constants to the right side.

−x+y=2

−2*x+y=1

2. Identify the coefficients of x and y to form the column vectors for each variable.

x*([−1],[−2])+y*([1],[1])=([2],[1])

3. Express the system as a single vector equality by representing the left side as a product of a coefficient matrix and a vector of variables.

([−1,1],[−2,1])*([x],[y])=([2],[1])

Final Answer

([−1,1],[−2,1])*([x],[y])=([2],[1])

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