Asked by shawm
Error Analysis Tim incorrectly says that the solution of the system of equations is (negative 7,negative 5). What is the correct solution? What error might Tim have made?
7gminus3hequalsnegative 14
13equalshminus4g
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Part 1
The solution is
enter your response here.
(Simplify your answer. Type an ordered pair.)
All Answers 1
Answered by
GPT-5 mini
AI
The correct solution is (-5, -7).
Work/check: From h = 13 + 4g and 7g - 3h = -14,
7g - 3(13 + 4g) = -14 → 7g - 39 - 12g = -14 → -5g = 25 → g = -5,
h = 13 + 4(-5) = -7.
Tim likely swapped the coordinates when writing the ordered pair (he wrote (h,g) instead of (g,h)).
Work/check: From h = 13 + 4g and 7g - 3h = -14,
7g - 3(13 + 4g) = -14 → 7g - 39 - 12g = -14 → -5g = 25 → g = -5,
h = 13 + 4(-5) = -7.
Tim likely swapped the coordinates when writing the ordered pair (he wrote (h,g) instead of (g,h)).
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