https://file.aiquickdraw.com/mathbot/file/1726889575279x55yo3vp.jpg

To find an ordered pair \((x, y)\) that satisfies the equation:

\[
3x + y = 7
\]

We can choose a value for \(x\) and solve for \(y\), or vice versa. Let's solve for \(y\) in terms of \(x\):

\[
y = 7 - 3x
\]

Now, we can choose a value for \(x\) and substitute it into the equation. For example:

- Let \(x = 0\):
  \[
  y = 7 - 3(0) = 7
  \]
  So, one solution is \((x, y) = (0, 7)\).

Would you like to explore more ordered pairs or other values for \(x\)?

Here are five follow-up questions for further practice:
1. What happens if \(x = 1\)? What is the corresponding \(y\)?
2. Can you find the ordered pair if \(x = 2\)?
3. How would you graph this equation on a coordinate plane?
4. Can you rewrite the equation in slope-intercept form?
5. What is the slope of the line represented by this equation?

**Tip**: Choosing different values for \(x\) makes it easy to generate multiple solutions for linear equations.

Find an ordered pair (x, y) that is a solution to the equation 3x + y = 7.

Explore how to find an ordered pair solution to the linear equation 3x + y = 7. Learn key algebra concepts, including how to express y in terms of x. This step-by-step guide is suitable for Grades 7-8 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation