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Write as a Vector Equality 2x+3y=11 , -2x+5y=13

Problem

{[2*x+3*y=11],[−2*x+5*y=13])

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. Equate the linear combination of these vectors to the vector formed by the constants on the right side of the equations.

Final Answer

x*([2],[−2])+y*([3],[5])=([11],[13])


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