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

Problem

{[x−y=3],[x+y=5])

Solution

1. Identify the coefficients of the variables x and y in each equation to form the coefficient matrix.

2. Represent the variables as a column vector ([x],[y])

3. Represent the constants on the right side of the equations as a column vector ([3],[5])

4. Combine these components into a single matrix-vector equation of the form A*x=b

Final Answer

([1,−1],[1,1])*([x],[y])=([3],[5])

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