# Algebraic proofs

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##### Intros

##### Examples

###### Lessons

**Understanding the Properties of Equality**

State which property was used in each statement:- If
$3a=3b$
, then which property is used to justify that
$a=b$
?
- If
$3(a+b)=7$
, then which property is used to justify that
$3=\frac{7}{a+b}$
?
**Two Column Proofs**

Prove that if $2(4x+1)=10$ , then $x=1$ . Use the two column-proof method- Prove that if
$15=2(x+5)+3x-5$
, then
$x=2$
. Use the two column-proof method.
- Prove that if
$\frac{y}{3} +3y-4=6$
, then
$y=3$
. Use the two column-proof method.