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Rewrite the equation 4x3x−12+3=10

in two equations joined by “and.”(2 points)

3 answers

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 \( 4x^3 - 12 + 3 - 10 = 0 \).

what about this Equation 1: 4x/(3x-12) = 10

Equation 2: 3 = 10

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 \( 4x - 10(3x - 12) = 0 \).