Question

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

Explanation:

Step1: Choose a value for x

Let's choose \( x = 1 \).

Step2: Substitute x into the equation

Substitute \( x = 1 \) into \( 6x - y = 6 \):
\( 6(1) - y = 6 \)
\( 6 - y = 6 \)

Step3: Solve for y

Subtract 6 from both sides:
\( -y = 6 - 6 \)
\( -y = 0 \)
Multiply both sides by -1:
\( y = 0 \)

Answer:

\((1, 0)\) (Note: There are other possible solutions, for example, if \( x = 2 \), then \( 6(2)-y = 6 \Rightarrow 12 - y = 6 \Rightarrow y = 6 \), so \((2, 6)\) is also a solution.)