Question

find four role of equation 4x +3y = 12​

Answer 1

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Given equation is 4x + 3y =12 

On putting x = 0 in Eq. (i), we get 

4(0) +3y =12 

⇒ 3y =12

⇒ y = 12 / 3 = 4 

So, (0, 4) is a solution of given equation. 

On putting y = 0 in Eq. (i), we get 

4x+ 3 (0) =12 

⇒ 4x =12

x = 12 / 4 =3

 So, (3, 0) is a solution of given equation.

 

On putting x =1 in Eq. (i), we get  

4(1) + 3y=12  

⇒ 3y = 12 - 4 = 8

⇒ y = 8 / 3 

So, (1,8 / 3) is another solution of the given equation. 

Further, putting x = 2 in Eq. (i), we get 

4(2) + 3y = 12 

⇒ 3y = 12 - 8 = 4 

⇒  y = 4 / 3 

So, (2, 4 / 3) is also a solution of the given equation. 

• Hence the four solutions of given equation are (0, 4), (3, 0), (1, 8 / 3) and (2,4 / 3). 

Thank you!

@itzshivani

Answer 2

Step-by-step explanation:

(i) Put X=0

4×(0)+3y=12

3y=12

y=12/3=4

(x,y)=0,4

(ii) put y=0

4x+3(0)=12

4x=12

x=12/4=3

(x,y)=(3,0)

(iii) put x=2

4(2)+3y=12

8+3y=12

3y=12-8=4

y=4/3

(x,y)=(2,4/3)