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6 (1/3x + 1/2 ) = 2x + 3 solve please:(

2 Answers

4 votes

We have,


6((1)/(3)x+(1)/(2))=2x+3

First distribute 6 through parentheses


2x+3=2x+3

We can see both sides are equal hence for all x the equation will result with tautology (undeniable equality).

The answer is
x \in \mathbb{R}.

Hope this helps.

User Germel
by
8.1k points
7 votes

Answer:

Infinitely many solutions. The value of x can be any real number.

Explanation:

6 times 1/3x = 2x

6 times 1/2 = 3

6 times (1/3x + 1/2) = 2x+3

The left side of the original equation becomes 2x+3. The right side is also 2x+3. Both sides are the same, so we get infinitely many solutions.

User Zachscs
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8.7k points