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Write as a Vector Equality 7x+3y=-23 , -x+y=9

Problem

{[7*x+3*y=−23],[−x+y=9])

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 x and y

  3. Represent the constants on the right side of the equations as a constant vector.

  4. Express the system as a linear combination of vectors by separating the terms associated with each variable.

Final Answer

x*([7],[−1])+y*([3],[1])=([−23],[9])


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