Suppose you subtract a multiple of an equation in a system from another equation in the

Chapter 1, Problem 28

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QUESTION:

Suppose you subtract a multiple of an equation in a system from another equation in the system. Explain why the two systems (before and after this operation) have the same solutions.

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QUESTION:

Suppose you subtract a multiple of an equation in a system from another equation in the system. Explain why the two systems (before and after this operation) have the same solutions.

ANSWER:

Step 1 of 3

Let us consider a system of simultaneous equations

Suppose the solution of the above system be .

First, let us check if we add the second equation with the k times of the first equation, the solutions remain the same or not.

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