Question

To study the effect of an algebraic operations
(multiplication and divisions by a non-zero
number) on linear equations in two variables
graphically.
2x+3=0 is a linear equation
2x+11y=7 is a linear equation in two variables

Answer 1

Answer:

Explanation:

Let us take an equation x+2y=5   (1)

Put x=1 in eqn (1)

⇒y=2

So,x=1,y=2 is a solution of the equation  

Multiplying both sides of equation 1() by 3, we get

3x+6y=15

Put x=1,y=2 in LHS

LHS =3×1+6×2=15= RHS

Hence, on multiplying an equation by a non-zero number , the solution remains same.

Let us divide both sides of equation (1) by 2

⇒  2x +y=  2 5

​

 

Put x=1,y=2 in above equation

LHS =  2 1  +2=  2 5

​

= RHS

Hence, on dividing or multiplying an equation by a non-zero number, the solution remains the same.