Question

find an ordered pair (x, y) that is a solution to the equation. 2x - y = 6 (x, y) = (□,□)

Explanation:

Step1: Choose a value for x

Let's choose \( x = 3 \) (we can choose any value for x, here we pick 3 for simplicity).

Step2: Substitute x into the equation

Substitute \( x = 3 \) into \( 2x - y = 6 \), we get \( 2\times3 - y = 6 \), which simplifies to \( 6 - y = 6 \).

Step3: Solve for y

Subtract 6 from both sides: \( -y = 6 - 6 = 0 \), so \( y = 0 \).

Answer:

\((3, 0)\) (Note: There are other possible solutions, for example, if we choose \( x = 4 \), then \( 2\times4 - y = 6 \) gives \( 8 - y = 6 \), so \( y = 2 \), and the ordered pair would be \((4, 2)\) as well.)