Question

whether the the following pair of linear Equations
are parallel ? Justity.
9x -6y= 5 and 3x-2y=7​

Answer 1

Answer:

The pair of equation are parallel

Step-by-step explanation:

let a1=9, b1= -6, c1= -5

a2=3, b2= -2, c2= -7

For parallel lines,

a1/a2=b1/b2≠c1/c2

9/3=(-6)/(-2)≠(-5)/(-7)

9/3=(-6)/(-2)

3=3

Therefore, the lines are parallel

Answer 2

Given pair of linear equations is

3x – 5y – 4 = 0 …(i)

And 9x = 2y + 7 …(ii)

On multiplying Eq. (i) by 3 to make the coefficients of x equal, we get the equation as

9x – 15y – 12 = 0 …(iii)

On subtracting Eq. (ii) from Eq. (iii), we get

9x – 15y – 12 – 9x = 0 – 2y – 7

⇒ – 15y + 2y = – 7 + 12

⇒ – 13y = 5

On putting

in Eq. (ii), we get

Hence,

and

, which is the required solution.