1. ## Algebraic Proof

Use the statement vs reason chart to show that
5x - 4 = 6 has a solution of x = 2.

2. ## Re: Algebraic Proof

are you really saying you can't figure out how to solve

$5x-4=6$

3. ## Re: Algebraic Proof

You are still posting problems with no indication that you have made any attempt to do it your self! That makes it very difficult to know what you can do, where you have a problem, or what hints would help.

Do you know what "statement vs reason chart" means?

If you were asked to solve the equation algebraically, could you do it?

If so, give each step as a "statement" and why each works as a "reason".

For example, the first thing I would do is add four to both sides. The "statement" would be "add 4 to both sides of the equation". The "reason" is that "equals added to equals are equal". That leaves 5x= 10. What should you do now? How do you know you can do it?

4. ## Re: Algebraic Proof

Originally Posted by romsek
are you really saying you can't figure out how to solve

$5x-4=6$
No. I am not saying the linear equation is too hard for me.
I want to learn how to prove that x = 2 makes the original equation a true statement using the statements vs reasons chart.

5. ## Re: Algebraic Proof

Originally Posted by HallsofIvy
You are still posting problems with no indication that you have made any attempt to do it your self! That makes it very difficult to know what you can do, where you have a problem, or what hints would help.

Do you know what "statement vs reason chart" means?

If you were asked to solve the equation algebraically, could you do it?

If so, give each step as a "statement" and why each works as a "reason".

For example, the first thing I would do is add four to both sides. The "statement" would be "add 4 to both sides of the equation". The "reason" is that "equals added to equals are equal". That leaves 5x= 10. What should you do now? How do you know you can do it?
I will show my work later tonight.

6. ## Re: Algebraic Proof

Originally Posted by romsek
are you really saying you can't figure out how to solve

$5x-4=6$
$5x - 4 = 6$

$\begin{array}{ll} \text{Statement} &\text{Reason} \\ \hline &\hline \\ 5x -4 + 4= 6+4 &\text{Add 4 to both sides} \\ 5x = 10 &\text{Addition} \\ \dfrac{5x}{5} = \dfrac{10}{5} &\text{Divide both sides by 5} \\ x = 2 &\text{Division} \end{array}$

7. ## Re: Algebraic Proof

Originally Posted by romsek
$5x - 4 = 6$

$\begin{array}{ll} \text{Statement} &\text{Reason} \\ \hline &\hline \\ 5x -4 + 4= 6+4 &\text{Add 4 to both sides} \\ 5x = 10 &\text{Addition} \\ \dfrac{5x}{5} = \dfrac{10}{5} &\text{Divide both sides by 5} \\ x = 2 &\text{Division} \end{array}$
I will list the statements first.

Statements

1. 5x - 4 = 6

2. 5x = 6 + 4

3. 5x/5 = 10/5

4. x = 2

Reasons

1. Given

3. Division property of equality

4. Proved by statement 3.