Solve the following equation: x + 5/3 = 2/3. What is the value of x?

Rationale

x = -1

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

A (1) YOUR ANSWER

This choice is incorrect because substituting 1 into the original equation gives 1 + 5/3 = 8/3, which does not equal 2/3. Therefore, 1 cannot be the solution.

B (-1) CORRECT

This is the correct answer. When substituting -1 into the equation, we have -1 + 5/3 = -3/3 + 5/3 = 2/3, proving that x = -1 satisfies the equation.

C (3) YOUR ANSWER

Substituting 3 into the original equation results in 3 + 5/3 = 9/3 + 5/3 = 14/3, which is not equal to 2/3. Thus, 3 is not a solution.

D (-3) YOUR ANSWER

If we substitute -3 into the equation, we find -3 + 5/3 = -9/3 + 5/3 = -4/3, which again does not equal 2/3. Therefore, -3 is also not the correct solution.

Conclusion

The correct value of x in the equation x + 5/3 = 2/3 is -1, as it is the only choice that balances both sides of the equation accurately. Other options do not satisfy the equation, demonstrating the importance of careful substitution and simplification in solving algebraic expressions.

Solve the following equation: x + 5/3 = 2/3. What is the value of x?

x = -1

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test