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Question

Difficulty: EasySolving One-Variable Linear Equations

Solve the linear equation 10−4p=−1810 - 4p = -18. Which of the following is the value of pp?

  1. 7Answer
  2. B
    -7
  3. C
    2
  4. D
    -3

Answer

The correct value for p is 7.
The correct answer is 7 because applying inverse operations accurately isolates the variable. Subtracting 10 from both sides yields −4p=−28-4p = -28, and dividing both sides by −4-4 results in p=7p = 7.

Step-by-Step Solution

1
Subtract 10 from both sides of the equation.
−4p=−18−10-4p = -18 - 10 which simplifies to −4p=−28-4p = -28
This isolates the term containing the variable pp on one side of the equation.
2
Divide both sides by -4.
p=−28−4p = \frac{-28}{-4} which simplifies to p=7p = 7
This removes the coefficient from pp, giving the final solution.

Key Concept

Solving a one-variable linear equation requires isolating the variable by performing inverse operations equally on both sides.
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Topics

Solving One-Variable Linear Equations

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