1
algebra

If 3x+4=193x + 4 = 19, what is the value of xx?

A

45

B

5

C

7.66

D

15

Correct Answer: B

Choice Ahoice D is the correct answer. We solve this two-step equation by isolating the variable term first.

  1. Start with the equation: 3x+4=193x + 4 = 19
  2. Subtract 4 from both sides: 3x=1943x = 19 - 4
  3. Simplify: 3x=153x = 15
  4. Divide both sides by 3: x=153x = \frac{15}{3}
  5. Simplify: x=5x = 5
  6. Verify: 3(5)+4=15+4=193(5) + 4 = 15 + 4 = 19

Choice Ahoice C is incorrect because this results from adding 4 to 19: 2323, then 23/37.6623/3 \approx 7.66. We must subtract to undo addition.

Choice Ahoice C is incorrect because this is the value of 3x3x. You must divide by 3 to find xx.

Choice Ahoice D is incorrect because this results from multiplying 15 by 3: 15×3=4515 \times 3 = 45. Division is the correct inverse operation.