Question

hich of the following points is a solution to the system of equations y=2/3x−5
and y=73x−1
?(1 point)
Responses

(−1.2,3.3)
left parenthesis negative 1.2 comma 3.3 right parenthesis

(−2.4,−6.6)
left parenthesis negative 2.4 comma negative 6.6 right parenthesis

(2.4,−6.6)
left parenthesis 2.4 comma negative 6.6 right parenthesis

(−2.4,6.6)

Answer 1

Interpreting "73x−1" as (7/3)x − 1, solve

(2/3)x − 5 = (7/3)x − 1
(2/3 − 7/3)x = 4 → (−5/3)x = 4 → x = −12/5 = −2.4.

Then y = (2/3)(−2.4) − 5 = −1.6 − 5 = −6.6.

So the solution is (−2.4, −6.6).