Why is (4,1) not a solution to the equation y=3x+1?
Explain.
To determine whether (4,1) is a solution to the equation y = 3x + 1, we substitute the values of x and y from the ordered pair into the equation and check if the equation holds true.
For the ordered pair (4,1), x = 4 and y = 1. Substituting these values into the equation, we get:
1 = 3(4) + 1
Evaluating the right side of the equation:
1 = 12 + 1
1 = 13
Since 1 is not equal to 13, the equation does not hold true for the ordered pair (4,1). Therefore, (4,1) is not a solution to the equation y = 3x + 1.