Final answer:
The ordered pairs that are solutions to the equation 3x−14y=3 is (6, -15/14). Therefore, the correct solutions is c. (6, -15/14).
Step-by-step explanation:
To determine which ordered pairs are solutions to the equation 3x−14y=3, we can substitute the x and y values of each pair into the equation and check if the equation is true.
- (-7, 0), substituting x = -7 and y = 0 into the equation:
3(-7) - 14(0) = -21.
Therefore, (-7, 0) is not a solution.
- (-6, -3), substituting x = -6 and y = -3 into the equation:
3(-6) - 14(-3) = 24.
Therefore, (-6, -3) is not a solution.
- (6, -15/14), substituting x = 6 and y = -15/14 into the equation:
3(6) - 14(-15/14) = 3.
Therefore, (6, -15/14) is a solution.
- (10, 8), substituting x = 10 and y = 8 into the equation gives:
3(10) - 14(8) = -92.
Therefore, (10, 8) is not a solution.
Thus, the ordered pairs that are solutions to the equation 3x−14y=3 is c. (6, -15/14).