What value of p makes both equations true: 8×p=48 and 48÷8=p?

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Multiple Choice

What value of p makes both equations true: 8×p=48 and 48÷8=p?

Explanation:
You're looking for a p that makes both statements true. From the first equation, 8p = 48, so you divide by 8 to isolate p: p = 48 ÷ 8 = 6. Check the second equation: 48 ÷ 8 also equals 6, which matches p. So the value that works in both is 6. This uses inverse operations—multiplying by 8 is undone by dividing by 8. Any other guess, like 4, would give 8×4 = 32, not 48, so it wouldn’t satisfy the first equation.

You're looking for a p that makes both statements true. From the first equation, 8p = 48, so you divide by 8 to isolate p: p = 48 ÷ 8 = 6. Check the second equation: 48 ÷ 8 also equals 6, which matches p. So the value that works in both is 6. This uses inverse operations—multiplying by 8 is undone by dividing by 8. Any other guess, like 4, would give 8×4 = 32, not 48, so it wouldn’t satisfy the first equation.

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