Question

two straight paths are represented by the line 7x-5y=3 and 21x-15y=5 check wethe the paths cross each other

Answer 1

$\textbf{Answer :}$

The two lines are

7x - 5y = 3 ...(i)

21x - 15y = 5 ...(ii)

Now, the (ii) no. line can be written as

7x - 5y = 5/3 ...(iii), where we have divided both sides by 3

We see that the L.H.S. of (i) and (iii) are identical. That means (i) and (ii) are parallel lines. They will not cross each other.

(Check the given attachment to see the lines, parallel to each other.)

#$\textbf{MarkAsBrainliest}$

Answer 2

Answer:

It is parallel line which do not intersect each other

Step-by-step explanation:

For intersecting lines or the paths cross each other,

$\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}$

7x-5y-3=0             ...(i)

21x-15y-5=0          ...(ii)

$\frac{a_{1}}{a_{2}} = \frac{7}{21}}=\frac{1}{3}}$

$\frac{b_{1}}{b_{2}} = \frac{-5}{-15}}=\frac{1}{3}}$

$\frac{c_{1}}{c_{2}} = \frac{-3}{-5}}= \frac{3}{5}}$

$\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}\neq \frac{c_{1}}{c_{2}}$

Hence it forms parallel lines

HOPE IT IS HELPFUL