Determine the orderd pair is a solution
y=x + 2/7
A.(0,0)
B.(-1,2/5)
C.(1,2/5)***
D.(2,2 2/5)
Now wait a minute
If x = 1
then
y = 1 + 2/7 = 9/7
no way
If x = -1
y = -1 + 2/7 = -5/7
If x = 2
y = 14/7 + 2/7 = 16/7 = 2 2/7
Suspect D but you have a typo
your choice:
x = 1,
y = 1 + 2/5 = 1 2/5
but your choice had just 2/5, so not C
ok thanks guys
To determine if an ordered pair is a solution to a given equation, substitute the values into the equation and check if it holds true.
Let's check each ordered pair:
A. (0, 0)
Substituting x = 0 and y = 0 into the equation:
0 = 0 + 2/7
This equation is true, so (0, 0) is a solution.
B. (-1, 2/5)
Substituting x = -1 and y = 2/5 into the equation:
2/5 = -1 + 2/7
To simplify, we need a common denominator:
2/5 = -7/7 + 2/7
2/5 = (-7 + 2)/7
2/5 = -5/7
This equation is not true, so (-1, 2/5) is not a solution.
C. (1, 2/5)
Substituting x = 1 and y = 2/5 into the equation:
2/5 = 1 + 2/7
To simplify, we need a common denominator:
2/5 = 7/7 + 2/7
2/5 = (7 + 2)/7
2/5 = 9/7
This equation is also not true, so (1, 2/5) is not a solution.
D. (2, 2 2/5)
Substituting x = 2 and y = 2 2/5 into the equation:
2 2/5 = 2 + 2/7
To simplify, we need a common denominator:
2 2/5 = 10/5 + 2/7
2 2/5 = 14/5 + 2/7
To add fractions, we need a common denominator:
2 2/5 = (14*7)/(5*7) + (2*5)/(7*5)
2 2/5 = 98/35 + 10/35
To add the fractions:
2 2/5 = 108/35
So, the equation is not satisfied by any of the given ordered pairs.
Therefore, the correct answer is none of the options provided.