## Panda223RulerZ Group Title - 1/2 x + 2 = x + 7 I still dont understand how to do it one year ago one year ago

1. SchoolSlacker Group Title

how to do what?

2. SchoolSlacker Group Title

whats the question?

3. Panda223RulerZ Group Title

- 1/2 x + 2 = x + 7

4. robert1 Group Title

x==-10/3

5. Panda223RulerZ Group Title

How did you get to that answer?

6. Panda223RulerZ Group Title

I want to learn it, not just get answers haha

Follow the "golden rule" of algebra. Thou shalt do to one side of the equal sign as thou do to the other side.

In this case subtract x. You now have -1.5x + 2 = 7 Do you see why?

9. Panda223RulerZ Group Title

Yeah

Continuing, now subtract 2. You now have: -1.5x= 5 Again did you follow?

11. jiteshmeghwal9 Group Title

$\Huge{\frac{1}{2}x+2=x+7}$$\Huge{\frac{x+2}{2}=\frac{x+7}{1}}$By cross multiplication we have,$\Huge{(x+2)=2(x+7)}$Solve this for $$x$$.

12. Panda223RulerZ Group Title

Yes

I think you are on track. We only now have to do is divide by -1.5 We now have x = -(5/1.5) Using calculator divide 5 by 1.5 and prefix the minus sign.

14. jiteshmeghwal9 Group Title

|dw:1352384148089:dw|

This gives an odd ball answer of 3.33333

16. jiteshmeghwal9 Group Title

After getting the value u just need t put minus before the digit :)

or I should say -3.333 but it needs to be checked out by substituting it in the original problem to be sure we have not erred. To err is human.

The original equation was: - 1/2 x + 2 = x + 7 lets call the answer -3 1/3 and substitute it in the original. we would have: -1/2 (-3 1/3) +2 = -3 1/3 + 7 (-1/2)(-10/3) + 2= 3 2/3 10/6 + 2 = 3 2/3 5/3 + 2 = 3 2/3 3 2/3 = 3 2/3 verified!

Did following that help, just remember the golden rule and you won't unbalance the equation. When you unbalance the equation it will result in an incorrect answer.

This is my input for this morning. Good luck with your studies.

21. Panda223RulerZ Group Title

Thank you so much, and thank you for serving in the Army(: