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Write as a Vector Equality 4x-6y=3 , x+3y=0

Problem

4*x−6*y=3,x+3*y=0

Solution

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

  2. Express the left side of the system as a linear combination of two vectors, one scaled by x and the other scaled by y

  3. Set the resulting vector sum equal to the vector containing the constants from the right side of the equations.

Final Answer

x*[[4],[1]]+y*[[−6],[3]]=[[3],[0]]


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