Solve the system by the elimination method. 2x + y - 4 = 0 2x - y - 4 = 0 when you eliminate y, what is the resulting equation? x = 0 4x = -8 4x = 8

Option C.

Step-by-step explanation:

System of the equation consists of two equations

2x + y - 4 = 0

2x + y - 4 + 4 = 0 + 4

2x + y = 4(1)

and 2x - y - 4 = 0

2x - y + 4 - 4 = 0 + 4

2x - y = 4(2)

Now we will add these equations to eliminate y.

(2x + y) + (2x - y) = (4 + 4)

(2x + 2x) + (y - y) = 8

4x = 8

Therefore, resulting equation will be 4x = 8

Option C. will be the answer.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

that one look

step-by-step explanation: