Which equation is true when x = 4?

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Understand the Problem

The question is asking which of the provided equations is true when substituting x with 4. The process involves evaluating each equation by replacing x with 4 and checking if the equation holds true.

Answer

The equation that is true when $x = 4$ is $5x - 2 = 18$.
Answer for screen readers

The correct equation is $5x - 2 = 18$.

Steps to Solve

  1. Substituting for equation F

Substituting $x = 4$ into the equation $3x + 4 = 8$:

$$ 3(4) + 4 = 12 + 4 = 16 \quad (\text{Not true}) $$

  1. Substituting for equation G

Substituting $x = 4$ into the equation $5x - 2 = 18$:

$$ 5(4) - 2 = 20 - 2 = 18 \quad (\text{True}) $$

  1. Substituting for equation H

Substituting $x = 4$ into the equation $2x + 8 = 40$:

$$ 2(4) + 8 = 8 + 8 = 16 \quad (\text{Not true}) $$

  1. Substituting for equation J

Substituting $x = 4$ into the equation $4x + 4 = 12$:

$$ 4(4) + 4 = 16 + 4 = 20 \quad (\text{Not true}) $$

The correct equation is $5x - 2 = 18$.

More Information

When substituting $x = 4$ into each equation, only equation G simplifies correctly to equal 18, confirming it is valid. This process demonstrates how to evaluate linear equations by substitution.

Tips

  • Forgetting to multiply before adding or subtracting when working with the order of operations.
  • Not double-checking calculations to ensure accuracy.
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