Question

Which of the following system of equations has no solution? a) 3x-y=2, 2x-3y=6 b) x-7y+28=0, 5y-7x+9=0 c) 3x-5y-11=0, 6x-10y-7=0 d) None of the above

Answer 1

Answer:

(c).

Step-by-step explanation:

a). y = 3x - 2 and y = (2/3)x - 2 ; System has one solution

b). y = (1/7)x + 4 and y = (7/5)x - (9/5) ; System has one solution

c). y = (3/5)x - 11/5 and y = (3/5)x - 7/10

$m_{1}$ = $m_{2}$ and $b_{1}$ ≠ $b_{2}$ ===> system has no solution