Write as a Vector Equality y=7/(3x)+5 , x=-3

Problem

y=7/(3*x)+5,x=−3

Solution

1. Identify the components of the vector equation by evaluating the dependent variable y at the given value of the independent variable x

2. Substitute the value x=−3 into the equation for y

y=7/(3*(−3))+5

3. Simplify the expression to find the numerical value of y

y=−7/9+45/9

y=38/9

4. Construct the vector equality by placing the x and y values into a column vector format.

([x],[y])=([−3],[38/9])

Final Answer

([x],[y])=([−3],[38/9])

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