Question

Which of the following ordered pairs is a solution to 2.5y−3x=10
?(1 point)
Responses

(5,−2)
left parenthesis 5 comma negative 2 right parenthesis

(5,2)
left parenthesis 5 comma 2 right parenthesis

(−5,−2)
left parenthesis negative 5 comma negative 2 right parenthesis

(−5,2)

Answer 1

Plug each (x,y) into 2.5y − 3x:

(5,−2): 2.5(−2) − 3(5) = −5 − 15 = −20
(5,2): 2.5(2) − 3(5) = 5 − 15 = −10
(−5,−2): 2.5(−2) − 3(−5) = −5 + 15 = 10 ✓
(−5,2): 2.5(2) − 3(−5) = 5 + 15 = 20

So (−5, −2) is the solution.