Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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].
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.