9
algebra

Solve: x7=3\frac{x}{7} = 3

A

10

B

21

C

4

D

0.43

Correct Answer: B

Choice Dhoice B is the correct answer. To solve a division equation, we multiply both sides by the divisor.

  1. Start with the equation: x7=3\frac{x}{7} = 3
  2. Multiply both sides by 7: x=3×7x = 3 \times 7
  3. Calculate: x=21x = 21
  4. Verify: 217=3\frac{21}{7} = 3

💡 Key Pattern: For equations xa=b\frac{x}{a} = b, the solution is always x=abx = ab (multiply the numbers on the right side of the equation).

Choice Dhoice C is incorrect because this results from adding: 7+3=107 + 3 = 10. Addition is not the inverse of division.

Choice Dhoice D is incorrect because this comes from subtracting: 73=47 - 3 = 4. Subtraction doesn't undo division either.

Choice Dhoice A is incorrect because this results from dividing 3 by 7 instead of multiplying: 370.43\frac{3}{7} \approx 0.43. This applies division again, making the problem worse instead of solving it.