Write as a Vector Equality 4x-3y=-2 , -12x+9y=6

Problem

4*x−3*y=−2,−12*x+9*y=6

Solution

1. Identify the coefficients of the variables x and y in each equation to form the column vectors.

2. Group the coefficients of x into one vector and the coefficients of y into another vector.

3. Represent the variables x and y as scalars multiplying their respective coefficient vectors.

4. Set the sum of these scaled vectors equal to the vector containing the constants from the right side of the equations.

Final Answer

x*[[4],[−12]]+y*[[−3],[9]]=[[−2],[6]]

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