Question

39. Anushka and her friends went to a carnival on Christmas. The price of one adult ticket was Rs. x and that of a children's ticket was y. The total cost was a linear equation in two variables. TICKETS The pair of linear equations and 9x + 10y = 14 is: (a) consistent (b) inconsistent (c) consistent with one solution (d) consistent with many solutions plz send full solution​

Answer 1

Answer:

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Answer 2

Given :  The pair of linear Equation 3x/2 + 5y/3 = 7 and 9x + 10y = 14

To Find : Choose correct option

a:- consistent

B:-Inconsistent

c:-consistent with one solution

d:- consistent with many solution ​

Solution:

Pair of linear equations

a₁x  +  b₁y + c₁  =  0

a₂x  +  b₂y + c₂  =  0

Consistent

if a₁/a₂ ≠ b₁/b₂   (unique solution  and lines intersects each others)

  a₁/a₂ = b₁/b₂ = c₁/c₂   (infinite solutions and line coincide each other )

Inconsistent

if  a₁/a₂ = b₁/b₂ ≠  c₁/c₂  ( No solution , lines are parallel to each other)

3x/2 + 5y/3 = 7

9x + 10y = 14

(3/2)/9  = 1/6

(5/3)/10  = 1/6

7/14 = 1/2

1/6 = 1/6 ≠ 1/2

Hence Inconsistent  , No Solution

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