Question

The pair of equations x+2y+5=0 and -3x-6y+1=0

Answer 1

They don’t even one solution as they are non-consistent parallel lines if shown on a graph..
Here,
a1/a2=b1/b2,but b1/b2 is not equal to c1/c2

Answer 2

★ Question

→ The pair of equations x+2y+5=0 and -3x-6y+1=0

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★ Solution

$\longrightarrow a1=1, b1=2,c1=5 and a2=-3,b2=-6,c2=1$

$\frac{a1}{a1}=\frac{-1}{3},\frac{b1}{b2}=-\frac{2}{6}, \frac{1}{3} \\ \frac{c1}{c2} = \frac{5}{1} \\ \frac{a1}{a2}=.\frac{b1}{b2} ≠ \frac{c1}{c2}$

hence,

the pair of equation has no solution.