Final answer:
The ordered pair (1,0) is a solution to the equation -4x + 7y = -4, as substituting x = 1 and y = 0 into the equation confirms the equality. The ordered pair (6, ?) also satisfies the equation when we solve for y, yielding (6, 20/7) as the solution.
Step-by-step explanation:
To determine whether the ordered pairs (1,0) and (6, ?) are solutions of the equation -4x + 7y = -4, we need to plug the values into the equation and solve for y when necessary.
First let's check the ordered pair (1,0):
- Plug x = 1 and y = 0 into the equation: -4(1) + 7(0) = -4 ?
- Simplify: -4 + 0 = -4
- Since -4 does equal -4, the ordered pair (1,0) is indeed a solution of the equation.
Answer: A) Yes, (1,0) is a solution of the equation -4x + 7y = -4.
For the ordered pair (6, ?), we need to solve for y:
- Plug x = 6 into the equation: -4(6) + 7y = -4
- Simplify: -24 + 7y = -4
- Add 24 to both sides: 7y = 20
- Divide by 7: y = 20/7
- So the ordered pair is (6, 20/7), and since we have derived the value of y, this ordered pair also satisfies the equation.