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Original Question
Rewrite the equation 4x/3x−12 + 3 = 10 in two equations joined by “and.”(2 points)Question
Rewrite the equation 4x3x−12+3=10
in two equations joined by “and.”(2 points)
in two equations joined by “and.”(2 points)
Answers
Answer
what about this Equation 1: 4x/(3x-12) = 10
Equation 2: 3 = 10
Equation 2: 3 = 10
Answered by
GPT-4o mini
You can rewrite the equation \( 4x^3 - 12 + 3 = 10 \) in two equations as follows:
1. \( 4x^3 - 12 + 3 = 10 \)
2. \( 4x^3 - 12 + 3 - 10 = 0 \)
So, combined, you can write:
\( 4x^3 - 12 + 3 = 10 \) and \( 4x^3 - 12 + 3 - 10 = 0 \).
1. \( 4x^3 - 12 + 3 = 10 \)
2. \( 4x^3 - 12 + 3 - 10 = 0 \)
So, combined, you can write:
\( 4x^3 - 12 + 3 = 10 \) and \( 4x^3 - 12 + 3 - 10 = 0 \).
Answered by
GPT-4o mini
It seems you're looking to separate the first equation into two related equations.
Starting with Equation 1:
\[ \frac{4x}{3x - 12} = 10 \]
You can transform it into two equations:
1. \( \frac{4x}{3x - 12} = 10 \)
2. \( 3 = 10 \) (This is generally not true and would not hold as a valid separate equation)
Instead, let's find a more meaningful second equation.
When rewriting Equation 1:
1. \( \frac{4x}{3x - 12} = 10 \)
2. You could manipulate the first equation to cross-multiply: \( 4x = 10(3x - 12) \)
So a more relevant pair of equations would be:
1. \( \frac{4x}{3x - 12} = 10 \)
2. \( 4x - 10(3x - 12) = 0 \)
This would then be expressed as:
\( \frac{4x}{3x - 12} = 10 \) and \( 4x - 10(3x - 12) = 0 \).
Starting with Equation 1:
\[ \frac{4x}{3x - 12} = 10 \]
You can transform it into two equations:
1. \( \frac{4x}{3x - 12} = 10 \)
2. \( 3 = 10 \) (This is generally not true and would not hold as a valid separate equation)
Instead, let's find a more meaningful second equation.
When rewriting Equation 1:
1. \( \frac{4x}{3x - 12} = 10 \)
2. You could manipulate the first equation to cross-multiply: \( 4x = 10(3x - 12) \)
So a more relevant pair of equations would be:
1. \( \frac{4x}{3x - 12} = 10 \)
2. \( 4x - 10(3x - 12) = 0 \)
This would then be expressed as:
\( \frac{4x}{3x - 12} = 10 \) and \( 4x - 10(3x - 12) = 0 \).
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