Question

Write 3y=2x as a linear equation of the form ax+by+c=0 also write the values of a,b,c how many solution you can find for this equation?

Answer 1

Solution :

Given equation 3y=2x

=> 0 = 2x -3y

=> 2x -3y = 0

=> 2x +(-3)y +0 = 0 Compare

this with ax +by+c=0, we get

a = 2 , b = -3 , c = 0

Now ,

3y = 2x is a linear equation

in two variables x and y.

Every linear equation in two variables have infinitly many

solutions.

Therefore,

3y = 2x have infinitly many

solutions.

••••

Answer 2

$\bf\huge\textbf{\underline{\underline{According\:to\:the\:Question}}}$

Linear Equation ⇒ 3y = 2x

Change this into ax + by + c = 0

⇒ 2x - 3y = 0

Change into ax + by + c = 0

⇒ 2x + (- 3)y + 0 = 0

Here we get the value

a = 2 , b = -3 , c = 0

Hence,

Linear equation in two variables have many solution