Question

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

Explanation:

Step1: Choose a value for x

Let's choose \( x = 1 \) (we can choose any value for x, 1 is a simple choice).

Step2: Substitute x into the equation

Substitute \( x = 1 \) into the equation \( 5x - y = 5 \). We get \( 5(1) - y = 5 \), which simplifies to \( 5 - y = 5 \).

Step3: Solve for y

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

Answer:

\((1, 0)\) (Note: There are other solutions too, like \((2, 5)\), \((0, -5)\) etc. Any valid ordered pair that satisfies the equation is correct.)