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  • If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation :

If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation :

(A) Changes

(B) Remains the same

(C) Changes in case of multiplication only

(D) Changes in case of division only

Answers (1)

Answer:

(B) Remains the same

Solution:

Let the linear equation is x + y = 2 ……… (1)

Now put x = 1 in equation (1) we get

y = 1

Here x = 1, y = 1 is the solution of the equation

Now multiply both sides of equation (1) by 2

2x + 2y = 4

Put x = 1, y = 1 in left hand side we get

1(1) + 2(1) = 2 + 2 = 4 = RHS

Hence on multiply an equation by a non-zero number the solution remains same

Now divide both sides of equation (1) by 2

\frac{x}{2}+\frac{y}{2}=1

Put x = 1, y = 1 in L.H.S. we get

\frac{1}{2}+\frac{1}{2}=\frac{1+1}{2}=\frac{2}{2}=1= R.H.S.

Also on divide an equation by non-zero number the solution remains same.

Posted by

infoexpert21

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