87.5k views
16 votes
For each ordered pair determine if it is a solution to 7x+5y=9

(-4,-3)
(-3,6)
(5,0)
(2,-1)

2 Answers

5 votes

Final answer:

To determine if an ordered pair is a solution to the equation 7x + 5y = 9, substitute the x and y values into the equation and see if both sides are equal. The ordered pairs (-3, 6) and (2, -1) are solutions to the equation.

Step-by-step explanation:

To determine if an ordered pair is a solution to the equation 7x + 5y = 9, substitute the x and y values into the equation and see if both sides are equal. Let's check each ordered pair:

  1. (-4, -3): 7(-4) + 5(-3) = -28 - 15 = -43 ≠ 9, so it is not a solution.
  2. (-3, 6): 7(-3) + 5(6) = -21 + 30 = 9, so it is a solution.
  3. (5, 0): 7(5) + 5(0) = 35 + 0 = 35 ≠ 9, so it is not a solution.
  4. (2, -1): 7(2) + 5(-1) = 14 - 5 = 9, so it is a solution.

Therefore, the ordered pairs (-3, 6) and (2, -1) are solutions to the equation.

User Jfortunato
by
5.2k points
11 votes
Answer
2,-1

Explanation
Because ik