Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Certainly! To find the value of [tex]\(7x + 1\)[/tex] given the equation [tex]\(-2x - 1 = 7\)[/tex], we can follow these steps:
1. Solve for [tex]\(x\)[/tex] from the given equation:
The given equation is:
[tex]\[ -2x - 1 = 7 \][/tex]
To isolate [tex]\(x\)[/tex], first add 1 to both sides of the equation:
[tex]\[ -2x - 1 + 1 = 7 + 1 \][/tex]
Simplifying this, we get:
[tex]\[ -2x = 8 \][/tex]
Next, divide both sides by -2 to solve for [tex]\(x\)[/tex]:
[tex]\[ x = \frac{8}{-2} \][/tex]
This simplifies to:
[tex]\[ x = -4 \][/tex]
2. Substitute the value of [tex]\(x\)[/tex] into [tex]\(7x + 1\)[/tex] to find its value:
Now that we have [tex]\(x = -4\)[/tex], we substitute this value into [tex]\(7x + 1\)[/tex]:
[tex]\[ 7x + 1 = 7(-4) + 1 \][/tex]
Perform the multiplication:
[tex]\[ 7(-4) = -28 \][/tex]
Now add 1:
[tex]\[ -28 + 1 = -27 \][/tex]
Therefore, the value of [tex]\(7x + 1\)[/tex] is [tex]\(-27\)[/tex].
So, to summarize:
- The solution for [tex]\(x\)[/tex] from the equation [tex]\(-2x - 1 = 7\)[/tex] is [tex]\(x = -4\)[/tex].
- Substituting [tex]\(x = -4\)[/tex] into [tex]\(7x + 1\)[/tex] results in [tex]\(7 \cdot (-4) + 1 = -27\)[/tex].
Hence, the value of [tex]\(7x + 1\)[/tex] is [tex]\(-27\)[/tex].
1. Solve for [tex]\(x\)[/tex] from the given equation:
The given equation is:
[tex]\[ -2x - 1 = 7 \][/tex]
To isolate [tex]\(x\)[/tex], first add 1 to both sides of the equation:
[tex]\[ -2x - 1 + 1 = 7 + 1 \][/tex]
Simplifying this, we get:
[tex]\[ -2x = 8 \][/tex]
Next, divide both sides by -2 to solve for [tex]\(x\)[/tex]:
[tex]\[ x = \frac{8}{-2} \][/tex]
This simplifies to:
[tex]\[ x = -4 \][/tex]
2. Substitute the value of [tex]\(x\)[/tex] into [tex]\(7x + 1\)[/tex] to find its value:
Now that we have [tex]\(x = -4\)[/tex], we substitute this value into [tex]\(7x + 1\)[/tex]:
[tex]\[ 7x + 1 = 7(-4) + 1 \][/tex]
Perform the multiplication:
[tex]\[ 7(-4) = -28 \][/tex]
Now add 1:
[tex]\[ -28 + 1 = -27 \][/tex]
Therefore, the value of [tex]\(7x + 1\)[/tex] is [tex]\(-27\)[/tex].
So, to summarize:
- The solution for [tex]\(x\)[/tex] from the equation [tex]\(-2x - 1 = 7\)[/tex] is [tex]\(x = -4\)[/tex].
- Substituting [tex]\(x = -4\)[/tex] into [tex]\(7x + 1\)[/tex] results in [tex]\(7 \cdot (-4) + 1 = -27\)[/tex].
Hence, the value of [tex]\(7x + 1\)[/tex] is [tex]\(-27\)[/tex].
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.