Question

On comparing the ratio of the coefficients, find out whether the pair of linear

equations

x + 3y = 11 and 4x + 12y = 22 is Consistent or Inconsistent​

Answer 1

Answer:

Inconsistent.

Step-by-step explanation:

x+3y=11

4x+12y=22

x+3y-11=0

4x+12y-22=0

here, a1=1

a2=4

b1=3

b2=14

c1=-11

c2=-22

So,

a1/a2=1/4

b1/b2=3/12=1/4

c1/c2=-11/-22=1/2

If, a1 / a2 = b1 / b2 ≠ c1 / c2. So,the pair of linear equations in two variables is said to be inconsistent.