9
algebra

Solve: 16x=8016x = 80

A

5

B

64

C

1280

D

96

Correct Answer: A

Choice Dhoice C is the correct answer. We divide by the coefficient to find xx.

  1. Start with the equation: 16x=8016x = 80
  2. Divide both sides by 16: x=8016x = \frac{80}{16}
  3. Simplify: x=5x = 5
  4. Verify: 16(5)=8016(5) = 80

💡 Simplification: You can simplify this by recognizing that 8016=80÷1616÷16=51=5\frac{80}{16} = \frac{80÷16}{16÷16} = \frac{5}{1} = 5, or that 16×5=8016 \times 5 = 80.

Choice Dhoice D is incorrect because this results from subtracting: 8016=6480 - 16 = 64. Subtraction is not the inverse of multiplication.

Choice Dhoice A is incorrect because this comes from adding: 80+16=9680 + 16 = 96. Addition doesn't undo multiplication.

Choice Dhoice B is incorrect because this results from multiplying: 80×16=128080 \times 16 = 1280. This makes the product even larger instead of isolating xx.