Write as a Vector Equality x+2=1 , y-2=5

Problem

x+2=1,y−2=5

Solution

1. Isolate the variables by moving the constant terms to the right side of each individual equation.

x=1−2

y=5+2

2. Simplify the constants to find the values for each component of the vector.

x=−1

y=7

3. Construct the vectors by grouping the variables on the left side and their corresponding values on the right side into column vectors.

[[x],[y]]=[[−1],[7]]

Final Answer

[[x+2],[y−2]]=[[1],[5]]

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