The following given solution is incorrect. Identify all mistakes in the solution to the following problem. Then show how to correctly solve the problem. Problem: Determine whether the equation -2(x + 2) = 2 - 3x + x has exactly one, infinitely many, or no solution. Prove your reasoning. Solution: -2(x + 2) = 2 – 3x + x -2x - 4 = 2 – 3x + x -2x - 4 = 2 - 4x -2x + 4x = 2 + 4 2x = 6 x = 3 The equation has exactly one solution. I lse the nanerclin huifton helow fo attach files 77°F Partly sunny

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter2: Linear Equations
Section2.1: Writing Equations
Problem 51PFA
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The following given solution is incorrect. Identify all mistakes in the solution to the following problem. Then show how to correctly
solve the problem.
Problem:
Determine whether the equation -2(x + 2) = 2 – 3x + x has exactly one,
infinitely many, or no solution. Prove your reasoning.
Solution:
-2(x + 2) = 2 – 3x + x
-2x - 4 = 2 – 3x + x
-2x - 4 = 2 – 4x
|-2x + 4x = 2 + 4
2x = 6
x = 3
The equation has exactly one solution.
I Ise the nanerclin button helow to attach files
77°F Partly sunny
F12
Insert
Del
F8
F9
F10
F11
Prt Sc
F3
F4
F5
F6
F7
Transcribed Image Text:The following given solution is incorrect. Identify all mistakes in the solution to the following problem. Then show how to correctly solve the problem. Problem: Determine whether the equation -2(x + 2) = 2 – 3x + x has exactly one, infinitely many, or no solution. Prove your reasoning. Solution: -2(x + 2) = 2 – 3x + x -2x - 4 = 2 – 3x + x -2x - 4 = 2 – 4x |-2x + 4x = 2 + 4 2x = 6 x = 3 The equation has exactly one solution. I Ise the nanerclin button helow to attach files 77°F Partly sunny F12 Insert Del F8 F9 F10 F11 Prt Sc F3 F4 F5 F6 F7
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