Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

What is the value of [tex]$x$[/tex] in the equation [tex]$2x + 3y = 36$[/tex] when [tex][tex]$y = 6$[/tex][/tex]?

A. 8
B. 9
C. 27
D. 36

Sagot :

GinnyAnswer
Certainly! Let's solve the equation [tex]\(2x + 3y = 36\)[/tex] given [tex]\(y = 6\)[/tex]. We will follow a step-by-step approach:

1. Substitute the value of [tex]\(y = 6\)[/tex] into the equation:

[tex]\[ 2x + 3(6) = 36 \][/tex]

2. Simplify the equation by performing the multiplication:

[tex]\[ 2x + 18 = 36 \][/tex]

3. Isolate the term containing [tex]\(x\)[/tex]:

- Subtract 18 from both sides of the equation:

[tex]\[ 2x + 18 - 18 = 36 - 18 \][/tex]

[tex]\[ 2x = 18 \][/tex]

4. Solve for [tex]\(x\)[/tex]:

- Divide both sides of the equation by 2:

[tex]\[ x = \frac{18}{2} \][/tex]

[tex]\[ x = 9 \][/tex]

So the value of [tex]\(x\)[/tex] is [tex]\(9\)[/tex].

Therefore, the correct answer is [tex]\( \boxed{9} \)[/tex].
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.