![gokusupersaiyan12345](/avatars/4390.jpg)
gokusupersaiyan12345
04.11.2020 •
Mathematics
Two students solved the same multi-step equation. Which student is correct? Explain the error. Student A Student B 2x - 4(3x + 6) = -6(2x + 1) - 4 2x - 4(3x + 6) = -6(2x + 1) - 4 2x - 12x + 6 = -12x + 1 - 4 2x - 12x - 24 = -12x - 6 - 4 -10x + 6 = -12x - 3 -10x - 24 = -12x - 10 2x = -9 2x = 14 x = -4 _1 2 x = 7
Solved
Show answers
More tips
- H Health and Medicine How to Whiten Teeth and Get the Perfect Smile...
- S Style and Beauty How to Properly Apply Eye Makeup: Tips from a Professional Makeup Artist...
- A Auto and Moto How Can Parking Sensors Help Drivers?...
- C Computers and Internet Make Money Online: Secrets and Essential Ways...
- A Auto and Moto What is the Average Lifespan of an Engine in a Car?...
- H Health and Medicine What You Need to Know About Nasal Congestion in Infants: Causes, Symptoms, and Treatment...
- S Science and Technology Discovering the Anatomy of an LCD TV Screen...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- F Food and Cooking Why Doesn t the Confirmation Link Come to Email?...
- F Food and Cooking Deflope: What is it and how does it work?...
Answers on questions: Mathematics
- M Mathematics Palti notices that two right triangles with a 65° angle look alike. He makes a conjecture that the ratio shown below is the same for all right triangles with a 65° angle. length...
- M Mathematics 4 A neghborhood is debating whether or not to have a leash law, which would require all dogs outside of homes to be on a leash. Most of the dog owners live in the northern part of...
- M Mathematics Derivative of √sinx by first principle class 11...
- M Mathematics ..….....…........….….……me voa a matar :v...
- M Mathematics How long will it take the wave to reach the shore?...
- M Mathematics An infant drinks about 30 ounces of milk per day. About how many quarts of milk does the baby drink in 4 weeks...
- M Mathematics 14in,1.5ft,7in what s the volume of the box...
- M Mathematics Simplify the following expression: 1/a^4b^2• a^2/3 b^1/4 / a^1/2 b^1/8 A) a^17/12b^19/8B) a^5/12b^17/8C) a^7/12b^4D) a^12b^8/17-Algebra 2 11.1.2...
- M Mathematics Parth creó un diagrama de caja y bigotes para mostrar el peso promedio de los peces que pescó durante el fin de semana. ¿Qué información del primer cuartil te da la gráfica? R. Tres...
- M Mathematics Một nhà máy có 2 phân xưởng sản xuất một loại sản phẩm. Xưởng I sản xuất 55%, xưởng II sản xuất 45% số sản phẩm của nhà máy. Tỷ lệ phế phẩm của mỗi xưởng tương ứng là 1% và 2%. a)...
Ответ:
Student B is correct
Student A failed to distribute -4 and -6 when opening the brackets in the first step
Step-by-step explanation:
The solution Student A gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x + 6 = -12x + 1 - 4
-10x + 6 = -12x - 3
2x = -9
x = -4 _1 2 ( -4 1/2)
The solution Student B gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x - 24 = -12x - 6 - 4
-10x - 24 = -12x - 10
2x = 14
x = 7
Student B is correct.
Explanation of the error:
Student A failed to distribute -4 and -6 when opening the brackets in the first step.
That is,
2x - 4(3x + 6) = -6(2x + 1) - 4
To open this bracket, we will distribute, -4 and -6 so that we get
2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4
Then we will get
2x -12x -24 = -12x -6 -4
Adding the like terms
-10x - 24 = -12x - 10
Collecting like terms
-10x + 12x = -10 + 24
∴ 2x = 14
x = 14 / 2
Hence,
x = 7
Ответ: