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.