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)…

Question

asked Aug 17, 2020 166k views

2 Answers

Patrick Williams · Answer 1 · 2020-08-22T17:06:39+0000

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).