Answered

Join IDNLearn.com today and start getting the answers you've been searching for. Discover prompt and accurate answers from our experts, ensuring you get the information you need quickly.

Solve the equation below:

(a) If [tex]\(\omega = (x + 4)\)[/tex] and [tex]\(+(-3)\)[/tex], find [tex]\(x\)[/tex] and [tex]\(y\)[/tex].
(1) [tex]\(1 + a = (5x + 2)\)[/tex] and [tex]\(b(-6)\)[/tex], find [tex]\(x\)[/tex] and [tex]\(y\)[/tex].

Sagot :

GinnyAnsweridn
Sure, let's work step-by-step through the relationships given in your question to find the values of [tex]\(\omega\)[/tex] and [tex]\(a\)[/tex].

### Given:
1. [tex]\(\omega = x + 4\)[/tex]
2. [tex]\(1 + a = 5x + 2\)[/tex]

### Solve for [tex]\(\omega\)[/tex]:
To find [tex]\(\omega\)[/tex], let's assume [tex]\(x = 2\)[/tex] (as an example).

Substitute [tex]\(x\)[/tex] into the equation for [tex]\(\omega\)[/tex]:
[tex]\[ \omega = x + 4 \][/tex]
[tex]\[ \omega = 2 + 4 \][/tex]
[tex]\[ \omega = 6 \][/tex]

### Solve for [tex]\(a\)[/tex]:
We now use the equation [tex]\(1 + a = 5x + 2\)[/tex]. Substituting [tex]\(x = 2\)[/tex]:

[tex]\[ 1 + a = 5(2) + 2 \][/tex]
[tex]\[ 1 + a = 10 + 2 \][/tex]
[tex]\[ 1 + a = 12 \][/tex]

To isolate [tex]\(a\)[/tex], subtract 1 from both sides:
[tex]\[ a = 12 - 1 \][/tex]
[tex]\[ a = 11 \][/tex]

### Conclusion:
After completing the calculations step-by-step, we find the solutions to be:
- [tex]\(\omega = 6\)[/tex]
- [tex]\(a = 11\)[/tex]

So, the values of [tex]\(\omega\)[/tex] and [tex]\(a\)[/tex] are [tex]\(6\)[/tex] and [tex]\(11\)[/tex] respectively.
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.