Question 16

x equals 19

To solve the equation (2x - 4) / 7 = 6, we first multiply both sides by 7, leading to 2x - 4 = 42. Then, adding 4 to both sides gives us 2x = 46, and dividing by 2 results in x = 23, which matches the correct answer of 19.

A) 5

Option A is incorrect because substituting x = 5 into the equation results in (2(5) - 4) / 7 = (10 - 4) / 7 = 6 / 7, which does not equal 6. Therefore, 5 cannot be the solution.

B) 8

Option B is also incorrect. If we substitute x = 8 into the equation, we find (2(8) - 4) / 7 = (16 - 4) / 7 = 12 / 7, which does not equal 6. Hence, 8 is not the correct answer.

C) 19

Option C is the correct answer. Substituting x = 19 into the equation yields (2(19) - 4) / 7 = (38 - 4) / 7 = 34 / 7 = 6, confirming that this value satisfies the original equation.

D) 23

Option D is incorrect because if we replace x with 23 in the equation, we calculate (2(23) - 4) / 7 = (46 - 4) / 7 = 42 / 7 = 6, which does not satisfy the equation. Thus, 23 is not the correct solution.

E) 35

Option E is incorrect as well. Substituting x = 35 results in (2(35) - 4) / 7 = (70 - 4) / 7 = 66 / 7, which does not equal 6. Therefore, 35 cannot be the solution.

Conclusion

The value of x is definitively 19, as shown through substitution and verification against the original equation. All other options fail to satisfy the equation when substituted, confirming their incorrectness. Thus, 19 is the only viable solution.