# Geometry

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

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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.

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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.

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

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4. ws

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