Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Solve for [tex]a[/tex]:
[tex]6a + 7a - 8 = 4a[/tex]

Select one:
a. [tex]\frac{12}{13}[/tex]
b. [tex]\frac{8}{9}[/tex]
c. [tex]\frac{9}{8}[/tex]
d. [tex]-\frac{4}{3}[/tex]

Sagot :

GinnyAnswer
Okay, let's solve the given equation step-by-step:

We start with the given equation:
[tex]\[ 6a + 7a - 8 = 4a \][/tex]

First, we need to combine like terms on the left side of the equation. Adding [tex]\(6a\)[/tex] and [tex]\(7a\)[/tex] gives us:
[tex]\[ 13a - 8 = 4a \][/tex]

Next, we need to isolate the variable [tex]\(a\)[/tex]. To do this, we can start by subtracting [tex]\(4a\)[/tex] from both sides of the equation:
[tex]\[ 13a - 4a - 8 = 4a - 4a \][/tex]

This simplifies to:
[tex]\[ 9a - 8 = 0 \][/tex]

Now, we want to isolate [tex]\(9a\)[/tex]. To do this, we add 8 to both sides of the equation:
[tex]\[ 9a - 8 + 8 = 0 + 8 \][/tex]

Simplifying this, we get:
[tex]\[ 9a = 8 \][/tex]

Next, we solve for [tex]\(a\)[/tex] by dividing both sides of the equation by 9:
[tex]\[ a = \frac{8}{9} \][/tex]

So, the solution to the equation is
[tex]\[ a = \frac{8}{9} \][/tex]

Therefore, the correct answer is:
b. [tex]\(\frac{8}{9}\)[/tex]
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.