Question

Write a justification for each step. (picture is in answers)
HJ = HI + IJ ___________________
7x − 3 = (2x + 6) + (3x − 3) ___________________
7x − 3 = 5x + 3 ___________________
7x = 5x + 6 ___________________
2x = 6 ___________________
x = 3 _____________________

Answer 1

were you able to get anywhere?

Answer 2

At the second step, use 'Order of Operations' and apply the right operations on the right side of the =

Answer 3

You don't use the Order of Operations. It is already solved for you. You just have to name what they did.

Answer 4

why is HJ = HI + IJ true

Answer 5

what.?

Answer 6

what is the first justification?

Answer 7

uhhh, idk. thats why im asking what they are..

Answer 8

we can't give out answers, you have to try and give some effort

Answer 9

think of having two segments

then combine them to form a bigger segment

what rule did I just use?

Answer 10

addition.??

Answer 11

what kind of addition

Answer 12

line addition? segment addition?

Answer 13

uhhhh. I have no clue.

Answer 14

we have 2 segments, so it's segment addition

ie we're using the segment addition postulate

Answer 15

so "segment addition postulate" is the first justification

Answer 16

well since we can't give the answers i had to point you in some kind of direction.

Answer 17

the second justification is having you replace something with its equivalent counterpart

what is this called mathematically?

Answer 18

for instance, if i know that x = 3 and I have the expression x+5

I go from

x+5

to

3+5

I replaced x with 3 (since x = 3). What rule did I just use?

Answer 19

Im soo confused...

Answer 20

Think of another term for when a sports player gets replaced