Question

Which system of linear equations will have the same solution as that of the given system of linear equations

Answer 1

Option 1 is correct.

Explanation:

Given two linear equations to us are ,

`\qquad 3x + 7y = 10 \\\\ \qquad x + y = 2`

And we have to find which system of linear equations have same answer .

On considering option (1) which is ,

`\qquad 3x + 7y = 10 \\\\ \qquad 2x + 2y = 4`

On taking the second equation in this ,

`=> 2x + 2y = 4 \\\\=> 2( x + y ) = 4 \\\\=> x+y =(4)/(2)}\\\\\boxed{\red{\bf => x + y = 2 } }`

This is same as the second one given in the Question . And the first one is already same .

Hence option (1) is correct .