Question

the equation 3x+4y=6 and 9x+12y=15 represent a pair of coincident lines true or false​

Answer 1

Answer:

No these pair are not coincident lines they are parallel lines.

Step-by-step explanation:

comparing a₁x+b₁x+c₁=0 with 3x+4y-6=0 then a₁=3 ,b₁=4,c₁=-6

comparing a₂x+b₂x+c₂=0 with 9x+12y-15=0 then a₂=9,b₂=12,c₂=-15

$\frac{a_{1}}{a_{2}} =\frac{3}{9} =\frac{1}{3} \\\frac{b_{1}}{b_{2}}=\frac{4}{12}=\frac{1}{3} \\\frac{c_{1}}{c_{2}}=\frac{6}{15} =\frac{2}{5} \\\frac{a_{1}}{a_{2}} =\frac{b_{1}}{b_{2}}\neq \frac{c_{1}}{c_{2}}$

So these are parallel lines