Question

Which of the following equations have the correct solution? Select all that apply.

A.3n + 7 = 16; n = 3
11 = x – 1; x = 15
*** = 2x; x = 1
B.20 - 2t = Ft +
=t+28; t = -3.2
C.4 + y -2- 2y = 16+ y; no solutions

Answer 1

Among the options, equation A has the correct solution when n is substituted as 3. Equation B's substitution of t results in a false statement, and equation C does actually have a solution, disproving its claim of having no solutions.

Step-by-step explanation:

The student is asking which of the given equations have the correct solution. Let's check each of them:

• A. 3n + 7 = 16; n = 3
  By substituting n=3 into the equation:
  3(3) + 7 = 16
  9 + 7 = 16
  16 = 16
  This is a true statement, so equation A has the correct solution.
• B. 20 - 2t = 4t + 28; t = -3.2
  By substituting t=-3.2 into the equation:
  20 - 2(-3.2) = 4(-3.2) + 28
  20 + 6.4 = -12.8 + 28
  26.4 = 15.2
  This is a false statement, so equation B does not have the correct solution.
• C. 4 + y - y - 2y = 16 + y; no solutions
  Simplifying the equation:
  4 - 2y = 16 + y
  -3y = 12
  y = -4
  Since there is a solution (y = -4), the statement that there are no solutions is incorrect. Thus, equation C does not have the correct solution either.