Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

3. Write the linear equation in standard form:

[tex]\[ 9y = 7x - 8 \][/tex]

---

Note: The original prompt seems to contain an extra, unrelated equation involving a square root that is not relevant to the question. It has been removed for clarity.

Sagot :

GinnyAnswer
Certainly! To write the given linear equation in standard form, let's follow these steps:

1. Given Equation:
[tex]\[ 9y = 7x - 8 \][/tex]

2. Rearrange the Equation:
Standard form of a linear equation is given by:
[tex]\[ Ax + By = C \][/tex]
where [tex]\(A\)[/tex], [tex]\(B\)[/tex], and [tex]\(C\)[/tex] are integers.

3. Isolate Constants and Variables Appropriately:
To express the equation in the form [tex]\( Ax + By = C \)[/tex], we need to bring all terms to one side of the equation:
[tex]\[ 9y = 7x - 8 \][/tex]
Subtract [tex]\(7x\)[/tex] from both sides to move the [tex]\(x\)[/tex] term to the left side:
[tex]\[ -7x + 9y = -8 \][/tex]

4. Standard Form:
Generally, the coefficient of [tex]\( x \)[/tex] (i.e., [tex]\( A \)[/tex]) in the standard form is positive. We can multiply the entire equation by [tex]\(-1\)[/tex] to achieve this, but it is conventional to keep all coefficients as is if they meet the requirement that [tex]\(A\)[/tex], [tex]\(B\)[/tex], and [tex]\(C\)[/tex] are integers.
So:
[tex]\[ 7x - 9y = 8 \][/tex]

Therefore, the constants are:
[tex]\[ A = 7 \][/tex]
[tex]\[ B = -9 \][/tex]
[tex]\[ C = 8 \][/tex]

The standard form of the given equation [tex]\( 9y = 7x - 8 \)[/tex] is:

[tex]\[ 7x - 9y = 8 \][/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.