Write as a Vector Equality -2x+4y=3 , -1/2x+y=6

Problem

−2*x+4*y=3,−1/2*x+y=6

Solution

1. Identify the coefficients of the variables x and y in each equation to form the coefficient matrix.

2. Define the variable vector as a column vector containing the unknowns x and y

3. Extract the constants from the right-hand side of the equations to form the constant vector.

4. Express the system as a linear combination of column vectors, where each variable scales a vector of its coefficients.

Final Answer

x*[[−2],[−1/2]]+y*[[4],[1]]=[[3],[6]]

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