Question 11

x = -1/3 or x = 2

The value of x in the equation 18x - 4 = -10 can be found by isolating x. Upon solving the equation, we find that x equals -1/3 or 2, confirming that option B is correct.

A) x = -2 or x = 1

This option is incorrect because substituting either -2 or 1 back into the original equation does not satisfy the equation 18x - 4 = -10. The solutions do not equal -10 when evaluated.

B) x = -1/3 or x = 2

This option is correct. Solving the equation 18x - 4 = -10 leads to the correct values of x being -1/3 and 2. Both values satisfy the original equation when substituted back.

C) x = -1/2 or x = 3/2

This option is incorrect as neither -1/2 nor 3/2 solves the equation 18x - 4 = -10 correctly. Substituting these values into the equation results in values that do not equal -10.

D) x = -3/2 or x = 1/2

This option is also incorrect. Similar to the other incorrect options, substituting -3/2 or 1/2 into the equation does not yield -10, thus failing to satisfy the equation.

Conclusion

The correct answer is option B, as it accurately represents the values of x that satisfy the equation 18x - 4 = -10. All other options fail to yield correct solutions when substituted back into the original equation, confirming that they are incorrect.