whether the the following pair of linear Equations
are parallel ? Justity.
9x -6y= 5 and 3x-2y=7
Answers
Answered by
6
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
Answered by
1
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.
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