Question

Which of the following ordered pairs is also a solution to the equation 5x−6y=10
?

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(1 point)

(-2,-3)

(2,1)

(-4,-5)

(6,4)

Answer 1

Check each by substitution into 5x − 6y = 10:

- (-2, −3): 5(−2) − 6(−3) = −10 + 18 = 8 (no)
- (2, 1): 5(2) − 6(1) = 10 − 6 = 4 (no)
- (−4, −5): 5(−4) − 6(−5) = −20 + 30 = 10 (yes)
- (6, 4): 5(6) − 6(4) = 30 − 24 = 6 (no)

So (−4, −5) is the solution.