Question

x- 3y = 3 3x - 9y = 2

Answer 1

3x - 9y = 2

=> 3 ( x - 3y ) = 2

=> x - 3y = 2/3

as x - 3y = 2

so ,

( x - 3y ) + ( x - 3y ) = 2/3+2

=> 2( x - 3y ) = ( 2 + 6 )/2

=> 2( x - 3y ) = 8/2

=> x - 3y = 8/2 × 2

so x - 3y = 8
=> x = 8 + 3y


x - 3y = 2 (given)
=> ( 8+3y ) - 3y = 2 {shown earlier}
=> 8+3y-3y = 2
=> 0 = 2

Answer 2

Given,

=> x- 3y = 3
=> 3x - 9y = 2

So,
=> x- 3y -3 =0
=> 3x - 9y- 2=0

Here, co-efficients of the equations are.

a1= 1, b1=-3, c1= -3

a2= 3, b2=-9, c2=-2

So, here a1/a2=b1/b2≠c1/c2.

Hence, the system of linear equations given are Inconsistent.

They have no solution.

They are parallel lines.