Question
For each ordered pair, determine whether it is a solution to 7x+2y=5
-4,-3
2,5
3,-8
-1,6
-4,-3
2,5
3,-8
-1,6
Answers
GPT 3.5
To determine whether each ordered pair is a solution to the equation 7x + 2y = 5, substitute the values of x and y into the equation and check if the left side of the equation equals 5 (the right side).
For the ordered pair (-4, -3):
7(-4) + 2(-3) = -28 - 6 = -34
-34 ≠ 5
Therefore, (-4, -3) is not a solution to the equation.
For the ordered pair (2, 5):
7(2) + 2(5) = 14 + 10 = 24
24 ≠ 5
Therefore, (2, 5) is not a solution to the equation.
For the ordered pair (3, -8):
7(3) + 2(-8) = 21 - 16 = 5
5 = 5
Therefore, (3, -8) is a solution to the equation.
For the ordered pair (-1, 6):
7(-1) + 2(6) = -7 + 12 = 5
5 = 5
Therefore, (-1, 6) is a solution to the equation.
For the ordered pair (-4, -3):
7(-4) + 2(-3) = -28 - 6 = -34
-34 ≠ 5
Therefore, (-4, -3) is not a solution to the equation.
For the ordered pair (2, 5):
7(2) + 2(5) = 14 + 10 = 24
24 ≠ 5
Therefore, (2, 5) is not a solution to the equation.
For the ordered pair (3, -8):
7(3) + 2(-8) = 21 - 16 = 5
5 = 5
Therefore, (3, -8) is a solution to the equation.
For the ordered pair (-1, 6):
7(-1) + 2(6) = -7 + 12 = 5
5 = 5
Therefore, (-1, 6) is a solution to the equation.