Write as a Vector Equality 9x+9x-7x=6 , -7x+0-1x=-10 , 9x+6x+8x=45

Problem

{[9*x+9*x−7*x=6],[−7*x+0−1*x=−10],[9*x+6*x+8*x=45])

Solution

1. Identify the coefficients for each variable in the system of equations. Since only the variable x is present in each term, we treat the coefficients as components of vectors.

2. Group the coefficients from the left-hand side into a single vector multiplied by the variable x

x*[[9+9−7],[−7+0−1],[9+6+8]]=[[6],[−10],[45]]

3. Simplify the arithmetic within the vector components on the left-hand side.

9+9−7=11

−7+0−1=−8

9+6+8=23

4. Construct the final vector equality by placing the simplified results into the vector format.

Final Answer

x*[[11],[−8],[23]]=[[6],[−10],[45]]

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