Which graph best represents the solution to

14x−6=−4



(1 point)
Responses

1 answer

To solve the equation \(14x - 6 = -4\), let’s first isolate \(x\).

  1. Add 6 to both sides of the equation: \[ 14x - 6 + 6 = -4 + 6 \] This simplifies to: \[ 14x = 2 \]

  2. Now, divide both sides by 14: \[ x = \frac{2}{14} \] Simplifying \(\frac{2}{14}\) gives us: \[ x = \frac{1}{7} \]

The solution to the equation \(14x - 6 = -4\) is \(x = \frac{1}{7}\).

To visually represent this solution on a graph, you would typically have:

  • A number line where you can plot the point \(\frac{1}{7}\).
  • An indication that this is the solution (for example, a filled circle at \(\frac{1}{7}\) or highlighting the point).

If you are provided with multiple graph options, choose the one where \(x = \frac{1}{7}\) is clearly marked or indicated as the solution.

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