Question

Find two solutions for the equation 4x+3y=24 how many solutions of this equation are possible ?

Answer 1

Let suppose two values of x = 0 and 1
In equation 4x+3y=24
Put x = 0
4 (0) + 3y = 24
0+3y=24
Y= 24/3
Y= 8

Now put x= 2
4 (2) + 3y= 24
8+ 3y =24
3y= 24-8
3y= 6
y= 6/3
y= 2

Two solutions ar3 (0,8)and(2,2)

☆ There are infinitely many solutions for this equation.

Answer 2

Given,

Equation: 4x + 3y = 24

To find,

Solutions of the given equation

Solution,

First, we will put the value of 'x' in the equation and find the value of 'y'

let x = 3

Putting the value of x in the equation

We will get,

4(3) + 3y = 24

3y = 24-12

3y = 12

y = 4

So the solution we get is (3,4)

Now,

let y = 0

Putting the value of y in the equation

We will get, 4x + 3(0) = 24

4x = 24

x = 6

So the solution we get is (6,0)

Hence, the two solutions of the equation are (3,4) and (6,0).