Asap im giving away free points plus brainliest for correct
which answer describes the graph of the system of equations?
{y = 4-x
{2y = 8 - 2x
a. the point of intersection is (0, 4).
b. the point of intersection is (4, 0).
c. the lines are parallel.
d. the lines coincide.

D. The lines coincide.

Step-by-step explanation:

Since, a system of two lines and ,

Has a point of intersection, if,

Has infinitely many solution ( i.e. lines are coinciding ), if,

Has no solution ( i.e. lines are parallel ), if,

Here, the given system of equations,

y = 4 - x ⇒ x + y = 4,

2y = 8 - 2x ⇒ 2x + 2y = 8

Thus, by the above explanation,

The given lines coincide.

Option 'D' is correct.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

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