Question

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

A) Step 1: Tommy should have transformed the first equation to y = 2x - 1.
B) Step II: Tommy should have substituted the expression 2x + 1 in for each variable.
C) Step III: Tommy should have distributed into the parentheses yielding the equation 2 - 5x + 2x + 1 = -7.
D) Step IV: Tommy must set the quadratic expression equal to 0 before factoring.

Answer 1

Without additional context, it is impossible to determine Tommy's mistake in solving the linear equations provided, as his problem-solving steps were not included. In general, careful attention to equation forms, substitution, and algebraic operations is crucial for correctly solving linear equations.

Step-by-step explanation:

The subject of this question is Mathematics, specifically related to linear equations and algebraic manipulation. The mistake Tommy made was not identified because the process of his work wasn’t included in the details provided. Generally, to correct any potential mistakes in solving linear equations, one should ensure that equations are written in the correct form, variables are correctly substituted, and all algebraic operations are performed correctly, including distribution and setting up the equation properly for factoring. In any given step, the focus should be on eliminating terms where possible to simplify the algebra, and then checking the solution to ensure it is reasonable.