Question

What is the justification for each step in the solution of the equation 3(2𝑥+7)−4=53−3𝑥?

Answer 1

3(2𝑥+7)−4=53−3𝑥 _______________
6𝑥 + 21 – 4 = 53 – 3𝑥 ______________
6𝑥 + 17 = 53 – 3𝑥 __________________
9𝑥 + 17 = 53 ________________
9𝑥 = 36 _______________
𝑥 = 4 _______________

Answer 2

i think for the first one is distributive

Answer 3

@welshfella

Answer 4

yea but I'm not very good at these justifications though Sorry

Answer 5

ok

Answer 6

my theory:
Subtract property of equality
Addition property of equality
Subtract property of equality
Division property of equality
Distributive property
Given

Answer 7

idk tho

Answer 8

@Kevin

Answer 9

I'm not good at justification either. Maybe I'll answer your question later. Sorry

Answer 10

ok

Answer 11

we just learned the rules but we were never given labels for them.

Answer 12

the labels for them?

Answer 13

the 'Addition Property of Equality' and so on.

Answer 14

I think that one is

a = b
therefore
a + d = b + d

Answer 15

- seems common sense to me. Why label it?

Answer 16

anyway - that's me....

Answer 17

@NerdyChick16

Answer 18

@awesomedude2078 @GracyGirl @GracyGirl @desmarie @LazyBoy @jango_IN_DTOWN

Answer 19

@Shy_Boy

Answer 20

Wait so like a two column proof?

Answer 21

it like a justifications thing naming what property they are

Answer 22

examples up their ^

Answer 23

3(2𝑥+7)−4=53−3𝑥 -Given
6𝑥 + 21 – 4 = 53 – 3𝑥 -Distributive Property
6𝑥 + 17 = 53 – 3𝑥 -Subtraction Property of Equality
9𝑥 + 17 = 53 -Subtraction Property of Equality
9𝑥 = 36 -Addition Property Of Equality
𝑥 = 4 -Division Property of Equality

I believe that is correct.

Answer 24

ok thank you

Answer 25

Actually....


3(2𝑥+7)−4=53−3𝑥 -Given
6𝑥 + 21 – 4 = 53 – 3𝑥 -Distributive Property
6𝑥 + 17 = 53 – 3𝑥 -Addition Property of Equality
9𝑥 + 17 = 53 -Subtraction Property of Equality
9𝑥 = 36 -Subtraction Property of Equality
𝑥 = 4 -Division Property of Equality

There that's correct.

Answer 26

oooh ok

Answer 27

:) Anytime