2.Max was solving the equation below and isn’t sure if his answer is correct. Explain to Max how he can check his answer and then help him identify any errors he made. Provide the correct solution in your explanation.

3x+6
8
=
7x−1
6

24
1
(
3x+6
8
) =
24
1
(
7x−1
6
)

3(3x+6) = 4(7x−1)
9x+18 = 28x−1
9x−9x+18 = 28x−9x−1
18 = 19x−1
18+1 = 19x−1+1
19 = 19x
1 = x

Question

2.Max was solving the equation below and isn’t sure if his answer is correct. Explain to Max how he can check his answer and then help him identify any errors he made. Provide the correct solution in your explanation.



3x+6 
8 
 = 
7x−1 
6 
 

24 
1 
(
3x+6 
8 
) = 
24 
1 
(
7x−1 
6 
) 



3(3x+6) = 4(7x−1) 
9x+18 = 28x−1 
9x−9x+18 = 28x−9x−1 
18 = 19x−1 
18+1 = 19x−1+1 
19 = 19x 
1 = x

mertsj · Answer

He could go back to his original equation and replace each x with 1 and see if it makes a true sentence

texaschic101 · Answer

(3x + 6)/8 = (7x - 1)/6 (common denominator is 24)
3(3x + 6) = 4(7x - 1) -- distribute through the parenthesis
9x + 18 = 28x - 4 ===> FIRST MISTAKE
9x - 9x + 18 = 28x - 9x - 4
18 = 19x - 4
18 + 4 = 19x - 4 + 4
22 = 19x
22/19 = x

texaschic101 · Answer

The answer can be checked by subbing in what you got for x, back into the equation to see if both sides equal.

anonymous · Answer

I got 1.15