Algerbra Question ?? Anyone answer this please for me
31 January 2004, 02:56 PM
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10 year old Daughters doing Algebra home work. Got this Question. Shes worked it out, but teachers got it Wrong??. Anyone do this please, just to see if shes right and me.
5x + 9 = 54 - 4x
What is the value of x please
A 5 B 9 C 63 D 45 E 8
31 January 2004, 03:12 PM
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okey dokey mate. You want to get all the x's on one side and the normal numbers on the other. (signs change when you swap sides e.g. - turns to +)
5x + 9 = 54 - 4x (take the -4x to the left side to give 5x+4x =9x)
(take the +9 to the right side to give 54 - 9)
9x = 54 - 9
9x = 45 (divide the 45 by 9 to leave x on it's own)
x = 45/9
x = 5
hope that helps mate
[Edited by Kyl3cook - 1/31/2004 3:12:49 PM]
[Edited by Kyl3cook - 1/31/2004 3:13:11 PM]
5x + 9 = 54 - 4x (take the -4x to the left side to give 5x+4x =9x)
(take the +9 to the right side to give 54 - 9)
9x = 54 - 9
9x = 45 (divide the 45 by 9 to leave x on it's own)
x = 45/9
x = 5
hope that helps mate
[Edited by Kyl3cook - 1/31/2004 3:12:49 PM]
[Edited by Kyl3cook - 1/31/2004 3:13:11 PM]
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31 January 2004, 05:21 PM
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Realy was my daughters homework. She now thinks scooby netters arent sad anymore but she still carn,t get her head around going to meets thou in some drafty car park.
knew we should have had a son. lol
31 January 2004, 05:28 PM
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It might help to not think of moving it across but that you are adding 4x to both sides.
Consider a simple equation of 5 = 5.
Add 4 to both sides to keep it even, 9 = 9.
Move on to 4x = 4 (obviously x = 1).
Again add 4 to both sides, 4x + 4 = 8 (x still = 1).
So basically as long as you apply the same operation to both sides of the equation, it will keep the equation in balance.
So your initial equation, 5x + 9 = 54 - 4x becomes (when you add 4x ot both sides)
5x + 4x + 9 = 54 - 4x + 4x, hence 9x + 9 = 54
Same when you get down to 9x = 45, divide both sides by 9 to give
9x/9 = 45/9 => x = 5
Consider a simple equation of 5 = 5.
Add 4 to both sides to keep it even, 9 = 9.
Move on to 4x = 4 (obviously x = 1).
Again add 4 to both sides, 4x + 4 = 8 (x still = 1).
So basically as long as you apply the same operation to both sides of the equation, it will keep the equation in balance.
So your initial equation, 5x + 9 = 54 - 4x becomes (when you add 4x ot both sides)
5x + 4x + 9 = 54 - 4x + 4x, hence 9x + 9 = 54
Same when you get down to 9x = 45, divide both sides by 9 to give
9x/9 = 45/9 => x = 5
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