Write as a Vector Equality 9x+5y-3z=8 , 8x+4y-6z=4 , 6x+5x+2z=2

Problem

{[9*x+5*y−3*z=8],[8*x+4*y−6*z=4],[6*x+5*y+2*z=2])

Solution

1. Identify the coefficients of the variables x y and z from each equation to form the column vectors.

2. Group the terms containing x into a single vector multiplied by the scalar x

3. Group the terms containing y into a single vector multiplied by the scalar y

4. Group the terms containing z into a single vector multiplied by the scalar z

5. Set the sum of these three vectors equal to the vector containing the constants from the right side of the equations.

Final Answer

x*[[9],[8],[6]]+y*[[5],[4],[5]]+z*[[−3],[−6],[2]]=[[8],[4],[2]]

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