Use exact arithmetic to solve the following system:

10

^{-3}x-y=1,x+y=0.

The book says the answer is (1/1.001, -1/1.001). Please show all your work step by step. Thanks.

Use exact arithmetic to solve the following system:

10^{-3}x-y=1,

x+y=0.

The book says the answer is (1/1.001, -1/1.001). Please show all your work step by step. Thanks.

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Olney, MD

(0.001)x-y = 1 [10^{-3} = 0.001]

x+y=0; Therefore y = -x

Plugging y = -x into the first equation:

(0.001)x -(-x) = 1

1.001x = 1

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