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

Problem

{[x−y−6=0],[x+y+4=0])

Solution

1. Rearrange the equations to move the constant terms to the right side of the equals sign.

x−y=6

x+y=−4

2. Identify the coefficients of the variables x and y to form the column vectors.

Coefficients of *x:([1],[1])

Coefficients of *y:([−1],[1])

3. Express the system as a linear combination of these column vectors equated to the constant vector.

x*([1],[1])+y*([−1],[1])=([6],[−4])

Final Answer

x*([1],[1])+y*([−1],[1])=([6],[−4])

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