Question

Q3The pair of linear equations x+2y=- 5 and -3x-6y+1=0 has ^(*) O two solution Unique solution No solution many solution​

Answer 1

$\huge\bold{Answer:-}$

$\bf{Here,Given}$

☆ x + 2y = -5 ......( i )

☆ -3x - 6y + 1 = 0 ......( ii )

By comparing the equations to standard form $\bf{ax²+ bx + c = 0 }$ , we get

☆ x + 2y + 5 = 0

☆ -3x -6y + 1 = 0

so here,

• a1 = 1 , b1 = 2 , c1 = 5
• a2 = -3 , b2 = -6 , c2 = 1

so, a1 / a2 = 1 /-3 = -1/3

b1 / b2 = 2 / - 6 = 1/ - 3 = -1/3

c 1 / c2 = 5 / 1

so ,

-1/3 = -1/3 ≠ 5/1

As , a1 / a2 = b1 / b2 ≠ c1 / c2

so it has no solution .