Question

Solve the system of equations.
x−3y=18

7x−5y=46
(1 point)
Responses

(3, −5)
left parenthesis 3 comma negative 5 right parenthesis

(33, 5)
left parenthesis 33 comma 5 right parenthesis

(−3, −5)
left parenthesis negative 3 comma negative 5 right parenthesis

(105, 5)

Answer 1

Solve x − 3y = 18 ⇒ x = 18 + 3y.
Substitute in 7x − 5y = 46:
7(18 + 3y) − 5y = 46 → 126 + 21y − 5y = 46 → 16y = −80 → y = −5.
Then x = 18 + 3(−5) = 3.

Solution: (3, −5).