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? (2, 5) (5, 2) (5, −8) (−8, 5)

Answer 1

5,2

Explanation:

Answer 2

Answer: (5,2)

Explanation:

Given equations:
`2x-2y=6......(1)\\4x+4y=28.......(2)`

Divide 2 on both sides of equation (1) and 4 on the both sides of equation (2), we get

`x-y=3......(3)\\x+y=7.......(4)`

Adding equation (3) and (4), we get

`2x=10\\\Rightarrow\ x=5`

Substitute x=5 in equation (4), we get

`y=7-5=2`

Hence, the solution of the both equations is (5,2).