Question

find an ordered pair (x, y) that is a solution to the equation. 3x + y = 2 (x, y) = (□, □)

Explanation:

Step1: Choose a value for x

Let's choose \( x = 0 \) (we can choose any value for x, 0 is a simple choice).

Step2: Substitute x into the equation

Substitute \( x = 0 \) into \( 3x + y = 2 \), we get \( 3(0)+y = 2 \), which simplifies to \( y = 2 \).

Step3: Form the ordered pair

So when \( x = 0 \), \( y = 2 \), the ordered pair is \( (0, 2) \). (Note: There are other possible ordered pairs, for example, if we choose \( x = 1 \), then \( 3(1)+y = 2 \), \( y = 2 - 3=-1 \), so \( (1, -1) \) is also a solution. Here we just take one example.)

Answer:

\( (0, 2) \) (or other valid ordered pairs like \( (1, -1) \) etc.)