Question

Write a two-column proof.
Given: 7y=8x-14; y=6

Prove: x=7


I need help making a two-column proof with the statements and the reasons, please! Thank you! ( This is what I have so far)


Statements | Reasons

1. 7y=8x-14;y=6 | Given

2. 7(6)=8x-14 | Substitution

3. ????|????

4. ????|????

5. x=7| ????


(I just stopped at 5 for right, that's not the exact steps I think the two-column proof actually has)

Thank you again for whoever helps me! Be Blessed

Answer 1

To me a two column proof is usually associated with Euclidean Geometry.

To use it here in this rather simplistic problem is like using a sledge hammer to drive in a finishing nail ...

here is what I would do
7y=8x-14; y=6

then:
42 = 8x - 14
56 = 8x
x = 56/8 = 7

There! I have proven it.

All that other stuff is just "word salad" to me.

Answer 2

It has to do with so-called addition property of equality and division property of equality.

Basically, if two things are equal,

adding or dividing both things by the same amount does not affect their equality.

Answer 3

Given - 7y=8x-14 : y=6
Substitution Property - 7(6)=8x-14
Distributive Property - 8x-14=42
Addition Property - 8x=56
Division Property - x=7

Answer 4

Id rather be sleeping rn but instead i have 58 overdue assignments to do kill me

Answer 5

Same welp same and I only have 7 days to complete them UGHHH

Answer 6

dude i hate geometry algebra is way easier to cheat

Answer 7

@yurr FR I hate it so much

Answer 8

8x=56 is Subtraction Property of Equality

Answer 9

I find it funny this a 10th grade math question, and this was 5 years ago, the person who asked it dude/girl prob 20 by now lool

Answer 10

I haave 17 assignments to do bruh

Answer 11

@Smh frl i have this test ive been putting off for forever this sucks

Answer 12

@Smh how tf u got 17 assignments to do???

Answer 13

I must really have nothing to do with my live because I am about a week ahead with most of my work.

Answer 14

I just snorted so hard now my throat hurts >< lmbo

Answer 15

@bruh what the- one time i had like 50 overdue assignments to get done within a month of semester end it was hell
mental health problems be like :')

Answer 16

this thread

Answer 17

Die

Answer 18

I have 93 assignments to do in 7 days i'm dying rn

Answer 19

Off topic but does that does connections academy want to be friends? I have no one to talk to or play video games with.

Answer 20

yeah sure al5x1, i can be friends if you want

Answer 21

literally it’s 6:38am on wednesday and i have until the end of friday to get 19 assignments done and i only have one extension left