Question

find an ordered pair (x, y) that is a solution to the equation. 4x - y = 4 (x, y) = (□, □)

Explanation:

Step1: Choose a value for x

Let's choose \( x = 1 \) (we can choose any value for x, here we pick 1 for simplicity).

Step2: Substitute x into the equation

Substitute \( x = 1 \) into \( 4x - y = 4 \), we get \( 4(1) - y = 4 \).

Step3: Solve for y

Simplify the equation: \( 4 - y = 4 \). Subtract 4 from both sides: \( -y = 0 \), so \( y = 0 \).

Answer:

\( (1, 0) \) (Note: There are infinitely many solutions, another example could be when \( x = 2 \), then \( 4(2)-y = 4 \Rightarrow 8 - y = 4 \Rightarrow y = 4 \), so \( (2, 4) \) is also a solution. The answer here uses \( x = 1 \) as a starting point.)