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Solve the following linear equations and identify the pattern in the sequence:

Mathematics

ScanSolve AI Answer

Answer

C

Step-by-step solution

20 steps

9)

  1. Subtract 9 from both sides of the equation.

    7x+9=587x + 9 = 58 7x=58−97x = 58 - 9 7x=497x = 49
  2. Divide by 7.

    x=497x = \frac{49}{7} x=7x = 7
  3. Compare with the given options.

    The correct option is C.
    The answer is C. 7\boxed{\text{C. 7}}

    10)

  4. Subtract 4 from both sides of the equation.

    6x+4=406x + 4 = 40 6x=40−46x = 40 - 4 6x=366x = 36
  5. Divide by 6.

    x=366x = \frac{36}{6} x=6x = 6
  6. Compare with the given options.

    The correct option is D.
    The answer is D. 6\boxed{\text{D. 6}}

    11)

  7. Subtract 10 from both sides of the equation.

    7x+10=1017x + 10 = 101 7x=101−107x = 101 - 10 7x=917x = 91
  8. Divide by 7.

    x=917x = \frac{91}{7} x=13x = 13
  9. Compare with the given options.

    The correct option is D.
    The answer is D. 13\boxed{\text{D. 13}}

    12)

  10. Subtract 17 from both sides of the equation.

    8x+17=1778x + 17 = 177 8x=177−178x = 177 - 17 8x=1608x = 160
  11. Divide by 8.

    x=1608x = \frac{160}{8} x=20x = 20
  12. Compare with the given options.

    The correct option is A.
    The answer is A. 20\boxed{\text{A. 20}}

    13)

  13. Identify the pattern in the sequence $20, 23, 26, 29, 32, ...$

    The common difference is 23−20=323 - 20 = 3.

  14. Add the common difference to the last term to find the next number.

    Next number =32+3=35= 32 + 3 = 35

  15. Compare with the given options.

    The correct option is B.
    The answer is B. 35\boxed{\text{B. 35}}

    14)

  16. Identify the pattern in the sequence $13, 15, 17, 19, 21, ...$

    The common difference is 15−13=215 - 13 = 2.

  17. Add the common difference to the last term to find the next number.

    Next number =21+2=23= 21 + 2 = 23

  18. Compare with the given options.

    The correct option is C.
    The answer is C. 23\boxed{\text{C. 23}}

    15)

  19. Identify the pattern in the sequence $9, 14, 19, 24, 29, ...$

    The common difference is 14−9=514 - 9 = 5.

  20. Add the common difference to the last term to find the next number.

    Next number =29+5=34= 29 + 5 = 34
    The options for this question are not fully visible in the image.
    The answer is 34\boxed{34}

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