Final answer:
The ordered pair (3, 1) is not a solution for the equation y = 3x - 4; substitution shows that when x = 3, y should equal 5 not 1.
Step-by-step explanation:
To determine if the ordered pair (3, 1) is a solution for the equation y = 3x - 4, we simply substitute the x-value from the pair into the equation and see whether the resulting y-value matches the one in our pair. Let's do the math:
Substitute x = 3 into the equation:
y = 3(3) - 4
y = 9 - 4
y = 5
If we compare this result to our ordered pair (3, 1), we can see that the y-value we calculated, 5, does not match the y-value in the pair, which is 1. Therefore, (3, 1) is not a solution for the equation y = 3x - 4.