Question

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

Answer 1

Answer:

Option 1 is correct.

Step-by-step 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 ,

$=> 2x + 2y = 4 \\\\=> 2( x + y ) = 4 \\\\=> x+y =\dfrac{4}{2}}\\\\\boxed{\red{\bf => x + y = 2 } }$

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

Hence option (1) is correct .