Determine which ordered pair is a solution of y equals x plus two-fifths..
(1 point)
Responses
the ordered pair (0, 0)
Image with alt text: the ordered pair (0, 0)
the ordered pair (negative 1, two-fifths)
Image with alt text: the ordered pair (negative 1, two-fifths)
the ordered pair (1, two-fifths)
Image with alt text: the ordered pair (1, two-fifths)
the ordered pair (2, 2 and two-fifths)
To determine which ordered pair is a solution for y = x + two-fifths, we can substitute the values of x and y into the equation and check if the equation holds true.
Let's check each ordered pair:
1) The ordered pair (0, 0):
y = x + two-fifths
0 = 0 + two-fifths
0 = two-fifths
The equation is NOT true, so (0, 0) is not a solution.
2) The ordered pair (negative 1, two-fifths):
y = x + two-fifths
two-fifths = negative 1 + two-fifths
two-fifths = two-fifths
The equation is true, so (negative 1, two-fifths) is a solution.
3) The ordered pair (1, two-fifths):
y = x + two-fifths
two-fifths = 1 + two-fifths
two-fifths = two-fifths
The equation is true, so (1, two-fifths) is a solution.
4) The ordered pair (2, 2 and two-fifths):
y = x + two-fifths
2 and two-fifths = 2 + two-fifths
2 and two-fifths = 2 and two-fifths
The equation is true, so (2, 2 and two-fifths) is a solution.
Therefore, the ordered pairs (negative 1, two-fifths), (1, two-fifths), and (2, 2 and two-fifths) are solutions of y = x + two-fifths.
To determine which ordered pair is a solution of y equals x plus two-fifths, we can substitute the x and y values of each ordered pair into the equation and check if the equation holds true.
Let's substitute the values from each ordered pair into the equation:
1) For the ordered pair (0, 0):
y = x + two-fifths
0 = 0 + two-fifths
0 = 0.4
This equation is not true, so the ordered pair (0, 0) is not a solution.
2) For the ordered pair (negative 1, two-fifths):
y = x + two-fifths
two-fifths = negative 1 + two-fifths
two-fifths = two-fifths
This equation is true, so the ordered pair (negative 1, two-fifths) is a solution.
3) For the ordered pair (1, two-fifths):
y = x + two-fifths
two-fifths = 1 + two-fifths
two-fifths = two-fifths
This equation is true, so the ordered pair (1, two-fifths) is a solution.
4) For the ordered pair (2, 2 and two-fifths):
y = x + two-fifths
2 and two-fifths = 2 + two-fifths
2 and two-fifths = 2 and two-fifths
This equation is true, so the ordered pair (2, 2 and two-fifths) is a solution.
So, the ordered pairs (negative 1, two-fifths), (1, two-fifths), and (2, 2 and two-fifths) are all solutions of the equation y = x + two-fifths.