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Is 9 a solution of 3y - 1 = 2y + 7?

publish date2023/09/12 23:43:00 GMT+10

volume_mute
Yes
No

Correct Answer

No

Explanation

We will substitute 9 for each y in the equation and evaluate the expression on the left side and the expression on the right side separately.  if a true statement results, 9 is a solution to the equation.  If we obtain a false statement, 9 is not a solution.

  • Evaluate the expression on the left side
    • 3y - 1
    • = 3(9) - 1
    • = 27 - 1
    • = 26
  • Evaluate the expression on the right side
    • 2y + 7
    • = 2(9) + 7
    • = 18 + 7
    • = 25

Since 26 = 25 is false, 9 is not a solution of 3y - 1 = 2y + 7

Reference

Mathematics for college students


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