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 ty. The total cost was a linear equation in two variables.
Q:-The pair of linear equation and 9x+10y=14 is :
a:-consistent
B:-Inconsistent
c:-consistent with one solution
d:- consistent with may solution
Answers
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
Learn More:
Show that system of equation 3x-5y=11 and 6x-10y=20 is inconsistent
brainly.in/question/8338977
for what value of a, the pair if linear equation. ax+3y=a-3,12x+ay=a ...
brainly.in/question/2517542
