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

Answer 1

he can check his answer by plugging in x=1 into the original eqauation to see if it fits

Answer 2

if you check it then LHS = 3 * 9 = 27
and RHS = 4*6 = 24

so x=1 is not correct

Answer 3

thanks, but where is the mistake

Answer 4

there is an error in the second line - can you spot it?

Answer 5

if you distribute 4 over (7x - 1) what do you get?

Answer 6

you get 28x - 4

Answer 7

right - theres the mistake

Answer 8

ok now I see it

Answer 9

so we have
9x+18 = 28x−4
9x - 9x + 18 = 28x - 9x - 4
18 = 19x - 4

Answer 10

yw

Answer 11

which equals no solution, thx for all your help

Answer 12

no - its not no solution - there is a solution

Answer 13

18 = 19x - 4
18 + 4 = 19x -4 + 4
22 = 19x
22/19 = x

Answer 14

ohhhhhhhhhh ok thx

Answer 15

yw