Question

Can someone verify that the answer is A? 

Answer 1

The answer is A because:...
2x + 2y = 8
You need to simplify it by getting either the x or the y by itself so you need to divide everything by two.
= x + y = 4
I hope this helped!!:)

Answer 2

Answer:

Option: B is the correct answer.

          B.    x+y=4

Step-by-step explanation:

The equation of the line H is given by:

                 $2x+2y=8$

i.e. on dividing both the side of the equation by 2 we get:

                   $x+y=4--------(1)$

Now, in order for a system to have infinite many solution the two lines must intersect infinite times.

A)

$x+2y=2$

Now, when we subtract equation(1) from this equation we have:

$y=-2$

and

$x=6$

i.e. the solution is :  (6,-2)

i.e. the system has a unique solution.

B)

$x+y=4$

This equation is similar to equation (1).

Hence, the system has infinite many solution.

C)

$2x+y=6$

When, we subtract equation (1) from this equation  we have:

$x=2$

and

$y=2$

Hence, the system has a unique solution.

D)

$x-y=8$

On adding this equation to equation (1) we get:

$2x=12\\\\i.e.\\\\x=6$

and

$y=-2$

Hence, the solution is unique i.e. (6,-2)