Question

if one equation of a pair of dependent linear equation is -3 x + 5 y - 2=0 the second equation will be

Answer 1

Answer:

Solution

Two linear equations

L1 and L2

are called dependent if

L1=λL2

, where

λ

is some constant.

Clearly,

10x+14y=4

can be written as

(5x+7y=2)×2

Hence, second equation will be :

10x14y−4=0

Answer 2

Step-by-step explanation:

• The equation given is – 3x + 5y – 2 = 0
• So A1 = - 3, B1 = 5, C1 = - 2
• Now the condition is A1/A2 = B1/B2 = C1/C2 = 1/k
• Substituting we get
•     So – 3/A2 = 5/B2 = - 2/C2 = 1/k
•      So A2 = - 3k, B2 = 5k, C2 = - 2k
• So the other equation is dependent on the given equation.
• Now by trial and error method putting k = 2,
•       Let A2x + B2y + C2 = 0
•       So we get
• – 6x + 10 y – 4 = 0      

Reference link will be

https://brainly.in/question/43886367