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How many solutions can be found for the linear equation?

3(x + 4) = 3x + 4
Responses
A infinitely many solutionsinfinitely many solutions
B no solutionno solution
C two solutionstwo solutions
D one solution

User Nimmneun
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1 Answer

0 votes

Answer:

B No solution

Explanation:

3(x+ 4) = 3x + 4 Distribute the 3

3(x) + 3( 12) = 3x + 4

3x + 12 = 3x + 4 There is not number that I can multiply by 3 and then add to 12 on one side and add to 4 on the other side of the equal sign to make a true statement, so the answer is no solution.

3x + 12 = 3x +4 Subtract 3x from both sides

12≠4. A false statement means no solution.

When the equation is simplified and the coefficient of the variable (the number before the letter) is the same on both sides of the equation and the constraints (the numbers without letters) are different, this will result in no solution.

User Edrina
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