During math class last week, Terrence was asked to determine if the equation shown has no solution, one solution, or infinitely many solutions
101 - 6+ 2. = 4(3x - 1) - 2
Terrence concluded that the equation has infinitely many solutions
Determine if Terrence's conclusion is correct that the equation has infinitely many solutions
Show each step of your work and justity your thinking
Enter your answer work, and justification in the box provided

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MrRoyal MrRoyal · Answer 1 · 2022-03-30T11:20:13+02:00

The equation can have no solution or as many solutions as possible

Terrence's conclusion that the equation has infinitely many solutions is false

The equation is given as:

101 - 6+ 2 = 4(3x - 1) - 2

Open the bracket

101 - 6+ 2 = 12x - 4 - 2

Collect the like terms

12x = 101 - 6+ 2 + 4 + 2

Evaluate the like terms

12x = 103

Divide both sides by 12

x =103/12

The above shows that the equation has one solution

Hence, Terrence's conclusion that the equation has infinitely many solutions is false

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