Which of the following pairs of numbers, when placed from left to right in the boxes above in the order given, make the equation true? 15 = (9 x []) / 5 + []

Rationale

5, 6

To satisfy the equation \(15 = (9 \times []) / 5 + []\), the correct values must be inserted into the equation to yield a true statement. When substituting 5 for the first box and 6 for the second box, the equation balances correctly.

A (15, 1) YOUR ANSWER

Substituting 15 and 1 into the equation gives \(15 = (9 \times 15) / 5 + 1\). This simplifies to \(15 = 27 + 1\), which results in \(15 = 28\), an incorrect statement.

B (10, 2) YOUR ANSWER

Using 10 and 2 results in \(15 = (9 \times 10) / 5 + 2\). This simplifies to \(15 = 18 + 2\), leading to \(15 = 20\), which is also incorrect.

C (10, 3) YOUR ANSWER

With 10 and 3, the equation becomes \(15 = (9 \times 10) / 5 + 3\). Simplifying this yields \(15 = 18 + 3\), resulting in \(15 = 21\), another incorrect result.

D (5, 4) YOUR ANSWER

Substituting 5 and 4 gives \(15 = (9 \times 5) / 5 + 4\). This simplifies to \(15 = 9 + 4\), which leads to \(15 = 13\), an incorrect conclusion.

Conclusion

The only pair of numbers that correctly satisfies the equation is 5 and 6. When substituted into the equation, they yield a true statement, demonstrating how to manipulate the equation correctly. The other options fail to balance the equation as they either result in incorrect sums or equations.

Which of the following pairs of numbers, when placed from left to right in the boxes above in the order given, make the equation true? 15 = (9 x []) / 5 + []

5, 6

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