Olivia's work and solution to the equation - 6x + 11=43 is shown. Identify each error in Olivia, s work ad epxplian what she would have done instead.

-6x + 11=43

+11 + 11

-6x = 54

-6x/6 = 54/6

X = 9

The correct solution algorithm for the equation - 6x + 11 = 43 is give as follows:

-6x + 11 = 43

Subtract 11 from both sides to get:

-6x + 11 - 11 = 43 - 11

-6x = 32

Divide both sides by - 6 to get:

-6x / - 6 = 32 / - 6

x = - 5.33

Given Olivia's work as follows:

-6x + 11 = 43

+11 + 11

-6x = 54

-6x/6 = 54/6

X = 9

Therefore, Olivia's errors are:

1) She added 11 instead of subtracting 11.

2) She divided by 6 instead of - 6.