Question

Which ordered pairs are solutions to the equation 6x + 5y = 5?

Select all that apply:
A. (2, -7/5)
B. (3, -13/5)
C. (0, 1)
D. (7, 5)
E. None of the above

Answer 1

The ordered pairs that are solutions to the equation 6x + 5y = 5 are (A) (2, -7/5), (B) (3, -13/5), and (C) (0, 1), as they satisfy the equation when their values are substituted in.

Step-by-step explanation:

To find which ordered pairs are solutions to the equation 6x + 5y = 5, we need to substitute the x and y values from each pair into the equation and check if the equation holds true.

• (A) (2, -7/5): For this pair, we have 6(2) + 5(-7/5) = 12 - 7 = 5. The equation is satisfied, so this is a solution.
• (B) (3, -13/5): For this pair, we have 6(3) + 5(-13/5) = 18 - 13 = 5. This pair also satisfies the equation, making it a solution.
• (C) (0, 1): For this pair, we have 6(0) + 5(1) = 0 + 5 = 5. This pair satisfies the equation as well, so it is a solution.
• (D) (7, 5): For this pair, we have 6(7) + 5(5) = 42 + 25 = 67, which does not equal 5. Thus, this is not a solution.

The ordered pairs (A) (2, -7/5), (B) (3, -13/5), and (C) (0, 1) are all solutions to the equation 6x + 5y = 5.