Analyzing Solutions Answers

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4

Dante wrote several equations and determined that only one of the equations has infinitely many solutions. Which of these equations has infinitely many solutions?

A
6 (x + 3) + x = 7 x + 2 + 1
Option A
B
6 (x + 3) + x = 7 x + 5
Option B
C
6 (x + 3) + x = 6 x + 3 + 15
Option C
D
6 (x + 3) + x = 7 x + 9 + 9
Option D
9

Trina examined the equation below and said that the equation has exactly one solution.Which explains whether Trina is correct?

Question illustration
A
Trina is correct because the two sides of the equation are equivalent.
B
Trina is correct because the two sides of the equation are not equivalent.
C
Trina is not correct because the two sides of the equation are equivalent.
D
Trina is not correct because the two sides of the equation are not equivalent.
10

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation.Which method should Jeremy use?

Question illustration
A
Determine whether the equation has the form , and if it does, the equation has infinitely many solutions.
Option A
B
Determine whether the equation has the form , and if it does, the equation has no solution.
Option B
C
Determine whether the equation has the form , and if it does, the equation has one solution.
Option C
D
Determine whether the equation has the form , and if it does, the equation has no solution.
Option D

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