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

Answer: (5,2)

Step-by-step 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).

Answer 2

Answer:

5,2

Step-by-step explanation: