Question

find an ordered pair (x, y) that is a solution to the equation. 2x - y = 5 (x, y) = (□, □)

Explanation:

Step1: Choose a value for x

Let's choose \( x = 3 \) (we can choose any value for x, this is just an example).

Step2: Substitute x into the equation

Substitute \( x = 3 \) into the equation \( 2x - y = 5 \). We get \( 2(3)-y = 5 \), which simplifies to \( 6 - y = 5 \).

Step3: Solve for y

Subtract 6 from both sides: \( -y = 5 - 6=-1 \). Multiply both sides by -1: \( y = 1 \).

Answer:

\((3, 1)\) (Note: There are other possible solutions, for example, if \( x = 2 \), then \( 2(2)-y = 5\Rightarrow4 - y = 5\Rightarrow y=-1 \), so \((2, -1)\) is also a solution.)