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

Problem

y=3*x+2,−3*x+y=2

Solution

1. Identify the variables and constants in the system of linear equations. The system consists of two equations that represent the same line in ℝ2

2. Rewrite the equations in a standard linear form a*x+b*y=c if necessary. Both equations are equivalent to −3*x+y=2

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

4. Formulate the vector equality by multiplying each variable by its respective coefficient vector and setting the sum equal to the constant vector.

Final Answer

x*[[−3],[−3]]+y*[[1],[1]]=[[2],[2]]

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