Question

The solution set of x–3y=1 and 3x+y=3 is ......,select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) {(0, 1)}
(b) {(1, 1)}
(c) {(1, 0)}
(d) {(1/3,0)}

Answer 1

hy mate (c) is the YOUR ANSHWER

Answer 2

Option ( c ) is correct.

Explanation :

Given pair of linear equations,

x - 3y = 1

=> x = 1 + 3y ---( 1 )

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

Substitute x = 1 + 3y in equation ( 2 ),


We get,

3( 1 + 3y ) + y = 3

=> 3 + 9y + y = 3

=> 10y = 3 - 3

=> y = 0/10

=> y = 0

Put y = 0 in equation ( 1 ) , we get

x = 1 + 3 × 0

=> x = 1

Therefore ,

( x , y ) = ( 1 , 0 )

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