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
    Addition Property - 8x=56
    Division Property - x=7

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  4. ws

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