Choose all of the ordered pairs that are solutions to the equation: y=x+4
A (1/3, 4 1/3)
B (2.5,3.5)
C (5,1)
D (7,3)
E (1,5)
Hello, have one of our people on here answer that for you
just check each pair to see whether it fits.
Does 4 1/3 = 1/3 + 4? Yes
check the others
To determine which ordered pairs are solutions to the equation y = x + 4, you need to substitute the values of x and y into the equation and check if both sides of the equation are equal.
Let's check each ordered pair one by one:
A) (1/3, 4 1/3):
Substituting x = 1/3 and y = 4 1/3 into the equation:
4 1/3 = 1/3 + 4
The left side simplifies to 4 1/3, while the right side becomes 13/3.
Since 4 1/3 is not equal to 13/3, this ordered pair (A) is not a solution to the equation.
B) (2.5, 3.5):
Substituting x = 2.5 and y = 3.5 into the equation:
3.5 = 2.5 + 4
Both sides of the equation result in 7, so this ordered pair (B) is a solution to the equation.
C) (5, 1):
Substituting x = 5 and y = 1 into the equation:
1 = 5 + 4
The left side is 1, while the right side is 9.
Since 1 is not equal to 9, this ordered pair (C) is not a solution to the equation.
D) (7, 3):
Substituting x = 7 and y = 3 into the equation:
3 = 7 + 4
Again, the left side does not equal the right side, so this ordered pair (D) is not a solution to the equation.
E) (1, 5):
Substituting x = 1 and y = 5 into the equation:
5 = 1 + 4
Once again, both sides of the equation are equal, so this ordered pair (E) is a solution to the equation.
Therefore, the solutions to the equation y = x + 4 are:
B) (2.5, 3.5)
E) (1, 5)