 **If 3*x* + 7*y* = 27, find the value of *y* in terms of *x*.**

To find the value of \( y \) in terms of \( x \), we can solve the equation \( 3x + 7y = 27 \) for \( y \).

Here are the steps:

1. Start with the equation:
   \[
   3x + 7y = 27
   \]

2. Subtract \( 3x \) from both sides to isolate the term with \( y \):
   \[
   7y = 27 - 3x
   \]

3. Divide both sides by 7 to solve for \( y \):
   \[
   y = \frac{27 - 3x}{7}
   \]

So, the value of \( y \) in terms of \( x \) is:
\[
y = \frac{27 - 3x}{7}
\]

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. What is the value of \( y \) when \( x = 3 \)?
2. How would you solve for \( x \) in terms of \( y \) using the same equation?
3. What is the slope of the line represented by the equation \( 3x + 7y = 27 \)?
4. How can this equation be represented in slope-intercept form?
5. What does the equation \( 3x + 7y = 27 \) represent graphically?

**Tip:** When isolating a variable, remember to perform the same operation on both sides of the equation to maintain equality.

If 3x + 7y = 27, find the value of y in terms of x.

Discover how to solve for y in the linear equation 3x + 7y = 27. This solution includes a step-by-step breakdown of isolating y and using algebraic techniques. Perfect for students in Grades 6-8 looking to strengthen their understanding of linear equations.

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