Question

find an ordered pair (x, y) that is a solution to the equation. 5x - y = 5 (x,y) = (\boxed{\quad},\boxed{\quad})

Explanation:

Step1: Choose a value for x

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

Step2: Substitute x into the equation

Substitute \( x = 1 \) into \( 5x - y = 5 \), we get \( 5(1) - y = 5 \).

Step3: Solve for y

Simplify the equation: \( 5 - y = 5 \). Subtract 5 from both sides: \( -y = 0 \), so \( y = 0 \).

Answer:

\((1, 0)\) (Note: There are other possible solutions, for example, if \( x = 2 \), then \( 5(2)-y = 5 \Rightarrow 10 - y = 5 \Rightarrow y = 5 \), so \((2, 5)\) is also a solution.)