Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

What is the value of [tex]a[/tex] in the equation [tex]5a - 10b = 45[/tex], when [tex]b = 3[/tex]?

A. 3
B. 15
C. 21
D. 39

Sagot :

GinnyAnswer
To find the value of [tex]\( a \)[/tex] in the equation [tex]\( 5a - 10b = 45 \)[/tex] when [tex]\( b = 3 \)[/tex], follow these steps:

1. Substitute [tex]\( b = 3 \)[/tex] into the equation:
[tex]\[ 5a - 10(3) = 45 \][/tex]

2. Simplify the equation by multiplying and combining like terms:
[tex]\[ 5a - 30 = 45 \][/tex]

3. To isolate [tex]\( a \)[/tex], add 30 to both sides of the equation:
[tex]\[ 5a - 30 + 30 = 45 + 30 \][/tex]
[tex]\[ 5a = 75 \][/tex]

4. Finally, solve for [tex]\( a \)[/tex] by dividing both sides of the equation by 5:
[tex]\[ a = \frac{75}{5} \][/tex]
[tex]\[ a = 15 \][/tex]

Thus, the value of [tex]\( a \)[/tex] is [tex]\(\boxed{15}\)[/tex].
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.