Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Solve the equation [tex]71y = 14(5y + 29)[/tex].

[tex]y = 1[/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\(71y = 14(5y + 29)\)[/tex], follow these steps:

1. Distribute the 14 on the right side of the equation:
[tex]\[ 14(5y + 29) = 14 \cdot 5y + 14 \cdot 29 \][/tex]
Simplify:
[tex]\[ 14 \cdot 5y = 70y \][/tex]
[tex]\[ 14 \cdot 29 = 406 \][/tex]
So,
[tex]\[ 14(5y + 29) = 70y + 406 \][/tex]

2. Now, set the left side equal to the right side:
[tex]\[ 71y = 70y + 406 \][/tex]

3. Subtract [tex]\(70y\)[/tex] from both sides to isolate [tex]\(y\)[/tex]:
[tex]\[ 71y - 70y = 406 \][/tex]
Simplify the left side:
[tex]\[ y = 406 \][/tex]

The value of [tex]\(y\)[/tex] that satisfies the equation is:
[tex]\[ y = 406 \][/tex]
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.