Question

find an ordered pair (x, y) that is a solution to the equation. 4x - y = 9 (x, y) = (□, □)

Explanation:

Step1: Choose a value for x

Let's choose \( x = 2 \) (we can choose any value for x, this is just an example).

Step2: Substitute x into the equation

Substitute \( x = 2 \) into the equation \( 4x - y = 9 \). We get \( 4(2)-y = 9 \), which simplifies to \( 8 - y = 9 \).

Step3: Solve for y

Subtract 8 from both sides: \( -y = 9 - 8 = 1 \). Multiply both sides by -1: \( y = - 1 \).

Answer:

\((2, -1)\) (Note: There are infinitely many solutions. Another example could be when \( x = 0 \), then \( -y = 9 \) so \( y=-9 \), giving the ordered pair \((0, -9)\), etc.)