Question

Would you solve the equation 0.25x + 7 = 1/3x – 8
using fractions or decimals? Explain please.

Answers

  1. Answer:

    x = 180

    Step-by-step explanation:

    Solve the value of x :

    0.25x + 7 = \frac{1}{3}x - 8

    -Combine \frac{1}{3}x and 0.25x by subtracting 0.25x by \frac{1}{3}x :

    0.25x - \frac{1}{3}x + 7 = \frac{1}{3}x - \frac{1}{3}x - 8

    -\frac{1}{12}x + 7 = -8

    -Subtract 7 on both sides:

    -\frac{1}{12}x + 7 - 7 = -8 - 7

    -\frac{1}{12}x = -15

    -Multiply both sides by -12, the reciprocal of -\frac{1}{12} :

    \frac{-\frac{1}{12}x}{-\frac{1}{12}} = \frac{-15}{-\frac{1}{12}}

    x = -15 (-12)

    x = 180

    Therefore, the value of x is 180.

Leave a Comment