Advertisements
Advertisements
Question
Write two solutions of the form x = 0, y = a and x = b, y = 0 for the following equation :
−4x + 3y = 12
Solution
Given that ,
−4x + 3y = 12
Substituting x = 0 in the equation
−4x + 3y = 12 , we get
⇒ - 4 × 0 + 3 y = 12
⇒ 3y = 12
⇒ y = 4
Thus x = 0 and y = 4 is a solution of −4x + 3y = 12
Substituting y = 0 in the equation
−4x + 3y = 12 , we get
⇒ - 4x + 3 × 0 = 12
⇒ -4x = 12
⇒ `x = 12 / -4 = -3`
Thus, x = -3 and y = 0 is a solution of −4x + 3y = 12 .
Thus x = 0. y = 4 and x = -3. y = 0 are two solutions of −4x + 3y = 12
APPEARS IN
RELATED QUESTIONS
Check whether the following is the solution of the equation x – 2y = 4 or not:
(1, 1)
Check whether the following is the solution of the equation x – 2y = 4 or not:
`(sqrt2", "4sqrt2)`
Write the following as an equation in two variable :
y = 3
Write the following as an equation in two variable :
5x = `7/2`
Write two solutions for the following equation :
x + 𝜋y = 4
Write two solutions of the form x = 0, y = a and x = b, y = 0 for the following equation :
5x – 2y = 10
Give the equations of two lines passing through (3, 12). How many more such lines are there,
and why?
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 𝑥
and per day charges are Rs y. Write the linear equation representing the above information.
Solve the equation 3x + 2 = x − 8, and represent the solution on the number line .
The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation C = `(5F - 160)/9`. If the temperature is 35°C, what is the temperature in Fahrenheit?
