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Solve the following equations: 1) 12/x = 4 2) 8x = 72 3) Evaluate 49 + 3 = 15 4) 3 + 8p = 51

Mathematics

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Here are the solutions for the equations:

  1. Solve for xx:
12x=4\frac{12}{x} = 4

  1. Multiply both sides by xx.

    12=4x12 = 4x

  2. Divide both sides by 4.

    x=124x = \frac{12}{4} x=3x = \boxed{3}
    1. Solve for xx:
    8x=728x = 72

  3. Divide both sides by 8.

    x=728x = \frac{72}{8} x=9x = \boxed{9}
    1. Evaluate the statement:
    49+3=1549 + 3 = 15

  4. Calculate the sum on the left side.

    49+3=5249 + 3 = 52

  5. Compare the result with the right side.

    52≠1552 \neq 15

    The statement 49+3=1549 + 3 = 15 is false.

    1. Solve for pp:
    3+8p=513 + 8p = 51

  6. Subtract 3 from both sides of the equation.

    8p=51−38p = 51 - 3 8p=488p = 48

  7. Divide both sides by 8.

    p=488p = \frac{48}{8} p=6p = \boxed{6}
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