Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

A student is asked to find the solution to this equation:

[tex]\[ 2x - 6 = 12 \][/tex]

The student's work is shown:

[tex]\[ 2x - 6 = 12 + 6 \][/tex]
[tex]\[ 2x = 18 \][/tex]
[tex]\[ x = \frac{18}{2} = 9 \][/tex]

The student's equation is [incorrect/correct] because it is [incorrectly/correctly solved].

One way we know this is [explanation].

Sagot :

GinnyAnswer
The student's equation is an incorrect equation because it is incorrectly solved.

One way we know this is that adding 6 to both sides of the equation should result in 18 on the right-hand side, not 12.

Let's go through the correct step-by-step solution to the equation \(2x - 6 = 12\):

1. Start with the given equation:
[tex]\[ 2x - 6 = 12 \][/tex]

2. Add 6 to both sides of the equation:
[tex]\[ 2x - 6 + 6 = 12 + 6 \][/tex]

3. Simplify both sides:
[tex]\[ 2x = 18 \][/tex]

4. Divide both sides by 2 to solve for \(x\):
[tex]\[ \frac{2x}{2} = \frac{18}{2} \][/tex]

5. Simplify the expression:
[tex]\[ x = 9 \][/tex]

This shows that the correct solution to the equation [tex]\(2x - 6 = 12\)[/tex] is [tex]\(x = 9\)[/tex].
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.