Question

Do the equation 5x+7y=8 and 10x+14y=4 represent coincident lines?

Answer 1

no, because for coincident line

$\frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}$

and this condition is not satisfied in above problem

Answer 2

It is not coincident lines.

Step-by-step explanation:

Since we have given that

$5x+7y=8\\\\10x+14y=4$

To check whether it is coincident lines or not.

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}\\\\\dfrac{5}{10}=\dfrac{7}{14}=\dfrac{8}{4}\\\\\dfrac{1}{2}=\dfrac{1}{2}\neq 2$

Hence, it is not coincident lines.