For each ordered pair, determine whether it is a solution to 6x - 7y = -19

Is it a solution?
Yes No
(-1,2)
(5,7)
(3,0)
(-4,-5)

1 answer

To determine if an ordered pair is a solution to the equation 6x - 7y = -19, we need to substitute the values of x and y into the equation and check if it is satisfied.

For (-1,2):
6(-1) - 7(2) = -6 - 14 = -20 ===> -20 ≠ -19
Therefore, (-1,2) is not a solution to the equation.

For (5,7):
6(5) - 7(7) = 30 - 49 = -19 ===> -19 = -19
Therefore, (5,7) is a solution to the equation.

For (3,0):
6(3) - 7(0) = 18 - 0 = 18 ===> 18 ≠ -19
Therefore, (3,0) is not a solution to the equation.

For (-4,-5):
6(-4) - 7(-5) = -24 + 35 = 11 ===> 11 ≠ -19
Therefore, (-4,-5) is not a solution to the equation.

In summary:
(-1,2) is not a solution.
(5,7) is a solution.
(3,0) is not a solution.
(-4,-5) is not a solution.
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