At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
To solve the equation [tex]\( 8x - 2 - 5x = 8 \)[/tex], follow these steps:
1. Combine like terms on the left side of the equation:
[tex]\( 8x \)[/tex] and [tex]\( -5x \)[/tex] are like terms. Subtract [tex]\( 5x \)[/tex] from [tex]\( 8x \)[/tex]:
[tex]\[ 8x - 5x = 3x \][/tex]
Now substitute back into the equation:
[tex]\[ 3x - 2 = 8 \][/tex]
2. Isolate the term containing [tex]\( x \)[/tex]:
To isolate [tex]\( 3x \)[/tex], add 2 to both sides of the equation:
[tex]\[ 3x - 2 + 2 = 8 + 2 \][/tex]
Simplify:
[tex]\[ 3x = 10 \][/tex]
3. Solve for [tex]\( x \)[/tex]:
Divide both sides of the equation by 3 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{10}{3} \][/tex]
The value of [tex]\( x \)[/tex] is [tex]\( \frac{10}{3} \)[/tex].
4. Compare [tex]\( x \)[/tex] with the given options:
- Option A: [tex]\( 13 \)[/tex]
- Option B: [tex]\( \frac{21}{2} \)[/tex]
- Option C: [tex]\( \frac{31}{3} \)[/tex]
- Option D: [tex]\( 7 \)[/tex]
Convert the value [tex]\( \frac{10}{3} \)[/tex] to a decimal form for easier comparison:
[tex]\[ \frac{10}{3} \approx 3.3333 \][/tex]
After comparison with the options:
- Option A: 13 is incorrect.
- Option B: [tex]\( \frac{21}{2} = 10.5\)[/tex] is incorrect.
- Option C: [tex]\( \frac{31}{3} \approx 10.3333 \)[/tex] is incorrect.
- Option D: 7 is incorrect.
None of the provided options correctly matches [tex]\( x = \frac{10}{3} \)[/tex]. Therefore, there is no correct option given in the list provided.
1. Combine like terms on the left side of the equation:
[tex]\( 8x \)[/tex] and [tex]\( -5x \)[/tex] are like terms. Subtract [tex]\( 5x \)[/tex] from [tex]\( 8x \)[/tex]:
[tex]\[ 8x - 5x = 3x \][/tex]
Now substitute back into the equation:
[tex]\[ 3x - 2 = 8 \][/tex]
2. Isolate the term containing [tex]\( x \)[/tex]:
To isolate [tex]\( 3x \)[/tex], add 2 to both sides of the equation:
[tex]\[ 3x - 2 + 2 = 8 + 2 \][/tex]
Simplify:
[tex]\[ 3x = 10 \][/tex]
3. Solve for [tex]\( x \)[/tex]:
Divide both sides of the equation by 3 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{10}{3} \][/tex]
The value of [tex]\( x \)[/tex] is [tex]\( \frac{10}{3} \)[/tex].
4. Compare [tex]\( x \)[/tex] with the given options:
- Option A: [tex]\( 13 \)[/tex]
- Option B: [tex]\( \frac{21}{2} \)[/tex]
- Option C: [tex]\( \frac{31}{3} \)[/tex]
- Option D: [tex]\( 7 \)[/tex]
Convert the value [tex]\( \frac{10}{3} \)[/tex] to a decimal form for easier comparison:
[tex]\[ \frac{10}{3} \approx 3.3333 \][/tex]
After comparison with the options:
- Option A: 13 is incorrect.
- Option B: [tex]\( \frac{21}{2} = 10.5\)[/tex] is incorrect.
- Option C: [tex]\( \frac{31}{3} \approx 10.3333 \)[/tex] is incorrect.
- Option D: 7 is incorrect.
None of the provided options correctly matches [tex]\( x = \frac{10}{3} \)[/tex]. Therefore, there is no correct option given in the list provided.
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 using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.