Determine which ordered pair is a solution of y equals 8x..
(1 point)
Responses
the ordered pair (0, 8)
Image with alt text: the ordered pair (0, 8)
the ordered pair (negative 1, 8)
Image with alt text: the ordered pair (negative 1, 8)
the ordered pair (1.5, 10)
Image with alt text: the ordered pair (1.5, 10)
the ordered pair (2, 16)
To determine which ordered pair is a solution for y = 8x, we need to substitute the values of x and y into the equation and check if the equation holds true.
1. For the ordered pair (0, 8):
Substituting x = 0 and y = 8 into the equation, we have 8 = 8(0), which simplifies to 8 = 0. This equation is not true, so the ordered pair (0, 8) is not a solution.
2. For the ordered pair (-1, 8):
Substituting x = -1 and y = 8 into the equation, we have 8 = 8(-1), which simplifies to 8 = -8. This equation is not true, so the ordered pair (-1, 8) is not a solution.
3. For the ordered pair (1.5, 10):
Substituting x = 1.5 and y = 10 into the equation, we have 10 = 8(1.5), which simplifies to 10 = 12. This equation is not true, so the ordered pair (1.5, 10) is not a solution.
4. For the ordered pair (2, 16):
Substituting x = 2 and y = 16 into the equation, we have 16 = 8(2), which simplifies to 16 = 16. This equation is true, so the ordered pair (2, 16) is a solution.
Therefore, the ordered pair (2, 16) is the solution for y = 8x.
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 need to substitute the values of x and y into the equation and check if the equation holds true.
1. For the ordered pair (0, 0):
Substituting x = 0 and y = 0 into the equation, we have 0 = 0 + two-fifths. This simplifies to 0 = two-fifths, which is not true. Therefore, the ordered pair (0, 0) is not a solution.
2. For the ordered pair (-1, two-fifths):
Substituting x = -1 and y = two-fifths into the equation, we have two-fifths = -1 + two-fifths. This simplifies to two-fifths = one-fifth, which is true. Therefore, the ordered pair (-1, two-fifths) is a solution.
3. For the ordered pair (1, two-fifths):
Substituting x = 1 and y = two-fifths into the equation, we have two-fifths = 1 + two-fifths. This simplifies to two-fifths = seven-fifths, which is not true. Therefore, the ordered pair (1, two-fifths) is not a solution.
4. For the ordered pair (2, 2 and two-fifths):
Substituting x = 2 and y = 2 and two-fifths into the equation, we have 2 and two-fifths = 2 + two-fifths. This simplifies to 2 and two-fifths = 2 and two-fifths, which is true. Therefore, the ordered pair (2, 2 and two-fifths) is a solution.
Therefore, the ordered pair (-1, two-fifths) and (2, 2 and two-fifths) are solutions for y = x + two-fifths.
To determine which ordered pair is a solution of y equals 8x, we need to substitute the x-value into the equation and see if it matches the corresponding y-value.
Let's check each ordered pair:
1. (0, 8):
Substituting x = 0 into the equation y = 8x, we get y = 8(0) = 0. So, the y-value does not match, and this ordered pair is not a solution.
2. (-1, 8):
Substituting x = -1 into the equation y = 8x, we get y = 8(-1) = -8. So, the y-value does not match, and this ordered pair is not a solution.
3. (1.5, 10):
Substituting x = 1.5 into the equation y = 8x, we get y = 8(1.5) = 12. The y-value does not match, and this ordered pair is not a solution.
4. (2, 16):
Substituting x = 2 into the equation y = 8x, we get y = 8(2) = 16. The y-value matches, and this ordered pair is a solution.
Therefore, the only ordered pair that is a solution of y equals 8x is (2, 16).