Question

Given: 3x + 1 = 2 + 2x – 4
Prove: x = –3

Answer 1

Given the equation 3x + 1 = 2 + 2x – 4, use the commutative property to rearrange the terms so that like terms are next to one another. This gives the equation 3x + 1 = 2 – 4 + 2x. Then, use the associative property of addition to group the like terms. This gives the equation 3x + 1 = (2 – 4) + 2x. Next, combine like terms to get the equation 3x + 1 = – 2 + 2x. Use the subtraction property of equality to subtract 2x from both sides of the equation. This gives the equation x + 1 = – 2. Then use the _________________________ to subtract 1 from both sides of the equation. This gives the solution x = –3. Therefore, given the equation 3x + 1 = 2 + 2x – 4, x is equal to –3.

Which justification was left out of the paragraph proof above?
Answer Associative Property of Addition
Commutative Property of Subtraction
Addition Property of Equality
Subtraction Property of Equality

Answer 2

da fuq? lmao.

Answer 3

lmao i know right !

Answer 4

hold on ill try these

Answer 5

what grade are you in? I wanna make sure i'm answering these in my grade lv. i'm a freshmaen in highschool

Answer 6

im a sophomore in highschool

Answer 7

ill try

Answer 8

thank you !

Answer 9

the first one is 1+3x=2x-4+2

Answer 10

got dam i didnt read the whole question

Answer 11

hold on

Answer 12

hahahahahaha its okay ! this is soooo retarded

Answer 13

i'm guessing the fisrt one could be the property of subtraction. I've trick questions like this before.

Answer 14

go @trueseminole you can do it :DDDD \m/

Answer 15

oh you did it already huh

Answer 16

lmao

Answer 17

just look at

x+ 1 = -2
x = -3

what happened to the left side of the equation..

Answer 18

i thought it was more than one question, but I gues it was just one long retriceone

Answer 19

hahahaha ! thank you so much : )

Answer 20

excuse the typos, i'm lagging

Answer 21

The justification is Subtraction Property of Equality. This property says that both sides, if you subtract a common number, still equal the same thing. For example in
\[1+x=2\]
then if I subtract 3 to each side:
\[1+x-3=2-3\]
And solve the equation:
\[-2+x=-1\]
Notice how x is still equal to 1.
In your example, you subtracted from both sides the same number, thus you haven't changed the value.