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.