Question

Write a pair of linear equations in two variables for the following equations
"There are some honeybees and flowers in a garden. If two honey bees sit on each flower, one honeybee was left out and if three honeybees sit on each flower no flower is left"

Answer 1

the linear equations are:-
1) x = 2y + 1
2) x = 3y
where
x = number of honeybees.
y = number of flowers
let the number of honeybees be x
and the number of flowers be y
ATQ
2y +1 = x --------(1)
again ATQ
x= 3y
=> 2y + 1 = 3y ( using (1))
=> 3y - 2y = 1
=>y = 1
now x= 2(1) + 1
= 2+1
=3
therefore number of honeybees = 3.
and number of flowers = 1.

Answer 2

Let number of honeybees = x
Let number of flowers = y
The required linear equations are :-
(1) x =2y+1
(2) x =3y
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