Write as a Vector Equality -x+2z=-2 , x+5z=43

Problem

{[−x+2*z=−2],[x+5*z=43])

Solution

1. Identify the variables and their coefficients in each equation of the system.

2. Express the system as a linear combination of constant vectors multiplied by the variables x and z

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

4. Set the sum of these scaled vectors equal to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[−1],[1]]+z*[[2],[5]]=[[−2],[43]]

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