Question

1. The pair of equations x + 2y – 5 = 0 and −3x – 6y + 15 = 0 have *
1 point
a) Unique solution
b) Exactly two solutions
c) Infinitely many solutions
d) No solution​

Answer 1

Answer:

The equations are:

x + 2y – 5 = 0                                ......................   (1) and

−3x – 6y + 15 = 0                            ......................   (2)

Step-by-step explanation:

From eqn.  (1) , and (2)

a1= 1,    b1 = 2      c1= - 5

a2= -3,  b2= -6    c2 =15

comparing to condition a1/a2 = b1/b2 = c1/c2,

1/-3 = 2/-6 =-5/15

1/-3 = 1/-3 =-1/3

-1/3=-1/3=-1/3

a1/a2 = b1/b2 = c1/c2

The equation has Infinitely many solutions.

Ans. c)

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