Final answer:
To find the equivalent system of equations, isolate each variable in terms of the others by rearranging the given equations.
Step-by-step explanation:
To find a system of equations that is equivalent to a given vector equation, we need to isolate each variable in terms of the others. Let's consider each equation:
A) 2x + 3y - z = 7 B) 4x - 2y + 5z = 9 C) 3x + 2y + z = 8 D) x - 5y - 2z = 3
To obtain the equivalent system of equations, we can rearrange each equation to solve for each variable. For example, for equation A, we can solve it for x: 2x = 7 - 3y + z, and similarly for y and z.
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