Question
solve this equation. Tell whether the problem is a false equation or identity.
1/3x+1/2x+6=11
1/3x+1/2x+6=11
Answers
GPT 3.5
To solve the equation 1/3x + 1/2x + 6 = 11, we first need to find a common denominator for both fractions. The common denominator of 3 and 2 is 6. Rewriting the equation with this common denominator, we get:
2/6x + 3/6x + 6 = 11
5/6x + 6 = 11
Subtracting 6 from both sides to isolate the variable, we get:
5/6x = 5
Multiplying both sides by 6 to solve for x, we get:
5x = 30
x = 30/5
x = 6
Therefore, the solution to the equation is x = 6.
This equation is not a false equation, it is a true equation and has a specific solution.
2/6x + 3/6x + 6 = 11
5/6x + 6 = 11
Subtracting 6 from both sides to isolate the variable, we get:
5/6x = 5
Multiplying both sides by 6 to solve for x, we get:
5x = 30
x = 30/5
x = 6
Therefore, the solution to the equation is x = 6.
This equation is not a false equation, it is a true equation and has a specific solution.