Question

Which of the following pair of linear equations is Inconsistent.
x + y = 5 & 2x + y = 8
2x - y - 5 = 0 & 10 x = 5y + 25
4x + 3y =11 & 2(8x + 6y) - 22 = 0
0.2x + 0.3y = 1.3 & 0.4x =- 0.5y + 2.3

Answer 1

Answer:

the correct option is c

As for inconsistent the values must satisfy:-

a1/a2=b1/b2 is not equal to c1/c2.

hope it helps you

please mark brainliest

Answer 2

Answer:

3rd option

[ 4x + 3y = 11 and 2(8x + 6y) - 22 = 0 ]

For explaination , please refer to the attachment .

Note:

★ A linear equation is two variables represent a straight line .

★ Two lines are said to be consistent if they are either intersecting or coincident.

★ Two lines are said to be inconsistent if they are parallel.

★ If we considered equations of two lines ax + bx + c = 0 and a'x + b'y + c' = 0 , then ;

• They are intersecting if a/a' ≠ b/b'

(Case of Unique solution)

• They are coincident if a/a' = b/b' = c/c'

(Case of Infinitely many solutions)

• They are parallel if a/a' = b/b' ≠ c/c'

(Case of no solution)