Question

Which of the following points is a
solution to the system of equations
and ?
(1 point)
y = x − 5
2
3
y = x − 1
7
3
(−2.4, −6.6)
(2.4, −6.6)
(−2.4, 6.6)
(−1.2, 3.3)

Answer 1

(-2.4, −6.6)

Check by substitution (writing -2.4 = -12/5, -6.6 = -33/5):

For y = (2/3)x − 5: (2/3)(-12/5) − 5 = -24/15 − 5 = -8/5 − 25/5 = -33/5 = -6.6.

For y = (7/3)x − 1: (7/3)(-12/5) − 1 = -84/15 − 1 = -28/5 − 5/5 = -33/5 = -6.6.

Both equations give y = −6.6, so (-2.4, −6.6) is the solution.