Question

which of these ordered pairs is a solution to this equation? y = 5x + 3 (5,16) (3,18)

Explanation:

Answer:

To determine which ordered pair is a solution to the equation \( y = 5x + 3 \), we substitute the \( x \)-value of each ordered pair into the equation and check if the resulting \( y \)-value matches.

Step 1: Check the ordered pair \( (5, 16) \)

Substitute \( x = 5 \) into the equation:

$$ y = 5(5) + 3 = 25 + 3 = 28 $$

The calculated \( y \)-value is \( 28 \), but the ordered pair has \( y = 16 \). So, \( (5, 16) \) is not a solution.

Step 2: Check the ordered pair \( (3, 18) \)

Substitute \( x = 3 \) into the equation:

$$ y = 5(3) + 3 = 15 + 3 = 18 $$

The calculated \( y \)-value is \( 18 \), which matches the \( y \)-value in the ordered pair \( (3, 18) \). So, \( (3, 18) \) is a solution.

The solution is \( (3, 18) \).