Question 50

x = -1

To solve the equation x + 5/3 = 2/3, we need to isolate x. Subtracting 5/3 from both sides results in x = 2/3 - 5/3, which simplifies to x = -1.

A) 1

Option A is incorrect because substituting x = 1 into the original equation results in 1 + 5/3 = 8/3, which does not equal 2/3.

B) -1

Option B is correct. When substituting x = -1 back into the equation, we get -1 + 5/3 = 2/3. Simplifying this shows that the left side equals the right side, confirming that -1 is the correct value for x.

C) 3

Option C is incorrect. If we substitute x = 3 into the equation, we find 3 + 5/3 = 14/3, which does not equal 2/3.

D) -3

Option D is also incorrect. Substituting x = -3 results in -3 + 5/3 = -4/3, which again does not equal 2/3.

Conclusion

The value of x is definitively -1, as it satisfies the original equation upon substitution. All other options do not yield a true statement when plugged back into the equation, confirming their inaccuracy. Thus, -1 is the only correct solution to the equation x + 5/3 = 2/3.