Question

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?
7gminus4hequalsnegative 7
13equalshminus4g
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Part 1
The solution is
  
enter your response here.
​(Simplify your answer. Type an ordered​ pair.)

Answer 1

The system is
7g − 4h = −7
h − 4g = 13

From the second, h = 13 + 4g. Substitute:
7g − 4(13 + 4g) = −7
7g − 52 − 16g = −7
−9g = 45 ⇒ g = −5

Then h = 13 + 4(−5) = −7. The solution is (−5, −7).

Tim likely swapped the coordinates (wrote (g,h) = (−7, −5)) or reversed the variables when solving.