Final answer:
The ordered pair (1,0) is a solution to the equation -4x + 7y = -4, as substituting the values into the equation yields a true statement. the pair (6,7) is not part of the question, but it's not a solution as the substitution does not result in a true statement.
Step-by-step explanation:
To determine whether the ordered pairs (1,0) and (6,7) are solutions of the equation -4x + 7y= -4, we substitute the x and y values from each pair into the equation.
For the ordered pair (1,0):
- Substitute x = 1 and y = 0 into the equation: -4(1) + 7(0) = -4.
- Simplify: -4 + 0 = -4, which is true.
- Thus, (1,0) is a solution of the equation.
Now let's check the ordered pair (6,7), though this is not asked in the question, it's part of the given text:
- Substitute x = 6 and y = 7 into the equation: -4(6) + 7(7) = -4.
- Simplify: -24 + 49 = 25, which is not equal to -4.
- Therefore, (6,7) is not a solution of the equation.