Write as a Vector Equality 9x=6y-24 , 9x-6y=-24

Problem

9*x=6*y−24,9*x−6*y=−24

Solution

1. Identify the coefficients of the variables x and y in the given linear equations.

2. Represent the left-hand side of the equations as a linear combination of two-dimensional vectors, where the scalars are the variables x and y

3. Group the coefficients of x into one vector and the coefficients of y into another vector.

4. Set the resulting vector sum equal to the vector containing the constant terms from the right-hand side of the equations.

Final Answer

x*([9],[9])+y*([−6],[−6])=([−24],[−24])

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