Question

which equation is this ordered pair a solution to? (3, 8) y = 2x + 2 y = x - 5

Explanation:

Step1: Substitute \( x = 3 \) into \( y = 2x + 2 \)

We substitute \( x = 3 \) into the equation \( y = 2x + 2 \). Using the formula \( y = 2x + 2 \), when \( x = 3 \), we calculate \( y \) as follows: \( y = 2\times3 + 2 \).

Step2: Calculate the value of \( y \)

First, calculate \( 2\times3 = 6 \), then add 2: \( 6 + 2 = 8 \). So when \( x = 3 \), \( y = 8 \), which matches the ordered pair \( (3, 8) \).

Step3: Check the other equation \( y = x - 5 \)

Substitute \( x = 3 \) into \( y = x - 5 \). We get \( y = 3 - 5 = - 2 \), which is not equal to 8. So the ordered pair \( (3, 8) \) is not a solution to \( y = x - 5 \).

Answer:

\( y = 2x + 2 \)