Advertisements
Advertisements
Question
Write two solutions of the form x = 0, y = a and x = b, y = 0 for the following equation :
2๐ฅ + 3๐ฆ = 24
Solution
Given that
2๐ฅ + 3๐ฆ = 24
Substituting x = 0 in the given equation
2๐ฅ + 3๐ฆ = 24 . We get
⇒ 2 × 0 + 3y = 24
⇒ 3 y = 24
⇒ y = `24/3` = 8
Thus, x = 0 and y = 8 is a solution of 2 x + 3y = 24
Substituting y = 0 in 2๐ฅ + 3๐ฆ = 24 , We get 2๐ฅ + 3×0 = 24
⇒ 2x = 24
⇒ `x = 24 /2 = 12`
Thus x = 12 and y = 0 is a solution of 2๐ฅ + 3๐ฆ = 24
Thus x = 0 , y = -8 and x = 12, y =0 are two solutions of 2๐ฅ + 3๐ฆ = 24
APPEARS IN
RELATED QUESTIONS
Write the following as an equation in two variable :
2x = −3
Write two solutions for the following equation :
x + ๐y = 4
Write two solutions for the following equation :
`2/3 x - y = 4`
If x = 2๐ผ + 1 and y = ๐ผ – 1 is a solution of the equation 2x−3y + 5 = 0, find the value of ๐ผ.
A lending library has a fixed charge for the first three days and an additional charge for each
day thereafter. Aarushi paid Rs 27 for a book kept for seven days. If fixed charges are Rs ๐ฅ
and per day charges are Rs y. Write the linear equation representing the above information.
The sum of a two digit number and the number obtained by reversing the order of its digits
is 121. If units and ten’s digit of the number are x and y respectively then write the linear
equation representing the above statement.
x = 5, y = 2 is a solution of the linear equation ______.
How many linear equations in x and y can be satisfied by x = 1 and y = 2?
Find the solution of the linear equation x + 2y = 8 which represents a point on x-axis.
The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation C = `(5F - 160)/9`. What is the numerical value of the temperature which is same in both the scales?
