To convert the equation \(-\frac{5}{7}x + y = -\frac{17}{7}\) into standard form, we want the equation to take the form:

\[
Ax + By = C
\]

where \(A\), \(B\), and \(C\) are integers, and \(A\) is typically a positive integer.

### Steps:
1. Start with the given equation:
   \[
   -\frac{5}{7}x + y = -\frac{17}{7}
   \]
   
2. To eliminate the fractions, multiply the entire equation by 7:
   \[
   7 \left(-\frac{5}{7}x + y\right) = 7 \left(-\frac{17}{7}\right)
   \]
   
   This simplifies to:
   \[
   -5x + 7y = -17
   \]

Thus, the standard form of the equation is:
\[
-5x + 7y = -17
\]

However, it's customary to have \(A\) as a positive integer. So, multiply the entire equation by \(-1\):
\[
5x - 7y = 17
\]

### Final answer:
The standard form of the equation is:
\[
5x - 7y = 17
\]

Would you like more details or further clarifications?

Here are 5 related questions to consider:
1. How do we identify the slope from the standard form?
2. How do we convert from standard form back to slope-intercept form?
3. What is the general procedure for eliminating fractions in equations?
4. Can all linear equations be expressed in standard form?
5. What is the significance of the coefficients \(A\), \(B\), and \(C\) in the standard form?

**Tip:** In standard form, the coefficient \(A\) should ideally be positive for consistency.

turn -5/7x + y = -17/7 into standard form

Learn how to convert the equation -5/7x + y = -17/7 into standard form with a step-by-step solution. This example highlights key algebraic concepts, including eliminating fractions and arranging linear equations. Suitable for students in Grades 7-10.

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