The correct answers are a) given; b) substitution property; c) subtraction property of equality; d) division property of equality; and e) reflexive property of equality.
Explanation:
The first line of your proof just restates what was given to us; therefore the reason is "given."
Between the first step and the second step, 11x was changed to 88; this is because x=8, and we substitute that in for x. That would give us 11*8=88, with the justification being substitution.
Between the second line and third line, 88 is cancelled from the left side and the -1 becomes -89; this happens because in order to cancel a positive 88, you must subtract it from both sides. This is the subtraction property of equality.
Between the third line and fourth line, -6 is cancelled from the left side and on the right side, -89 is changed to 89/6. This happens because in order to cancel the -6 that is beside the y (which means multiplication), we must divide both sides; this is the division property of equality.
The last step is to rewrite the equation with y on the left and the answer on the right; the reflexive property allows us to do that.
