Solve the equation for y. Then find the value of y for each value of x.
y plus 7 xequals10​; xequalsnegative 1​, 0​, 4

We are given the equation \( y + 7x = 10 \). First, let's solve for \( y \) in terms of \( x \).

### Step 1: Solve the equation for \( y \)
\[
y + 7x = 10
\]
Subtract \( 7x \) from both sides:
\[
y = 10 - 7x
\]

### Step 2: Find \( y \) for each given value of \( x \)

- When \( x = -1 \):
  \[
  y = 10 - 7(-1) = 10 + 7 = 17
  \]

- When \( x = 0 \):
  \[
  y = 10 - 7(0) = 10
  \]

- When \( x = 4 \):
  \[
  y = 10 - 7(4) = 10 - 28 = -18
  \]

### Final values of \( y \):

- For \( x = -1 \), \( y = 17 \)
- For \( x = 0 \), \( y = 10 \)
- For \( x = 4 \), \( y = -18 \)

Let me know if you'd like a more detailed explanation, or if you have any questions.

Here are 5 related questions:
1. What happens to \( y \) as \( x \) increases?
2. Can you graph the equation \( y = 10 - 7x \)?
3. How do you find the intercepts of the equation?
4. What is the slope of the line represented by \( y = 10 - 7x \)?
5. What is the effect of changing the constant on the right side of the equation?

**Tip:** The slope in a linear equation represents how much \( y \) changes for every unit increase in \( x \).

Solve the equation for y. Then find the value of y for each value of x. y + 7x = 10; x = -1, 0, 4

Learn how to solve the linear equation y + 7x = 10 and find the value of y for x = -1, 0, and 4. This problem demonstrates key algebraic concepts and formula manipulation, suitable for students in Grades 6-8.

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