Question

Solve the system of equations.
3x−4y=40

5x−5y=55
(1 point)
Responses

(4,−7)
left parenthesis 4 comma negative 7 right parenthesis

(14, 3)
left parenthesis 14 comma 3 right parenthesis

(18, 7)
left parenthesis 18 comma 7 right parenthesis

(8,−3)
left parenthesis 8 comma negative 3 right parenthesis

Answer 1

Solve x - y = 11 (from 5x−5y=55 → divide by 5). So x = y + 11.
Substitute into 3x−4y=40: 3(y+11) − 4y = 40 → 3y + 33 − 4y = 40 → −y = 7 → y = −7.
Then x = −7 + 11 = 4.

Solution: (4, −7).