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Write as a Vector Equality (-0.6x-0.5y)=1.3 , (0.5x-0.5y)=-2

Problem

{[−0.6*x−0.5*y=1.3],[0.5*x−0.5*y=−2])

Solution

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

  2. Separate the variables x and y as scalars multiplying their respective coefficient vectors.

  3. Express the constants on the right side of the equations as a single resultant vector.

  4. Combine these components into a single vector equation where the linear combination of the column vectors equals the constant vector.

Final Answer

x*[[−0.6],[0.5]]+y*[[−0.5],[−0.5]]=[[1.3],[−2]]


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