Question

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.

Which solution can be used to fill in both blanks in the table?

A: (2, 5)
B: (5, 2)
C: (5, −8)
D: (−8, 5)

Answer 1

B is the correct answer to your question

Answer 2

we have

`2x-2y=6` ------> equation
`1`

`4x+4y=28` ------> equation
`2`

Multiply by
`2` the equation
`1`

`4x-4y=12` ------> equation
`3`

Sum equation
`2` and equation
`3`

`4x+4y=28\\ 4x-4y=12\\ ------\\ 8x=40\\ x=40/8\\ x=5`

Substitute the value of x in the equation
`2`

`4x+4y=28`

`4*5+4y=28\\ 4y=28-20\\ 4y=8\\ y=8/4\\y=2`

therefore

the answer is the option B

`(5,2)`