Express the product in standa Tommy was trying to solve the system of a linear equation and a quadratic equation shown below. 2x – y = –1 x2 – 5x – y = –7 Tommy had completed the following steps in his algebraic solution process but could not factor the resulting quadratic, x2 – 7x – 1, to complete the problem.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Express the product in standa

Tommy was trying to solve the system of a linear equation and a quadratic equation shown below.

2x – y = –1
x2 – 5x – y = –7


Tommy had completed the following steps in his algebraic solution process but could not factor the resulting quadratic, x2 – 7x – 1, to complete the problem.
 
                                 



Determine the step in which Tommy made his mistake and justify your reasoning.

 
 

 

Step I: y = 2x + 1
Step II: y = x2 - 5x + 7
Step III: (2x + 1) = x2 - 5x + 7
Step IV: 1 = x2 - 7x + 7
Transcribed Image Text:Step I: y = 2x + 1 Step II: y = x2 - 5x + 7 Step III: (2x + 1) = x2 - 5x + 7 Step IV: 1 = x2 - 7x + 7
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