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Home > Education > High School   »   Linear Equations

 
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Old May 10, 2007, 01:15 PM
ray_mezz2002
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Linear Equations

I need help trying to solve linear equations..I dont even know where to start..

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Old May 15, 2007, 01:45 AM   #2  
colbtech
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I presume you have something like:
2x + 3y = 13
6x + 4y = 24

Solve x and y. You need to cancel one of the unknowns..first multiply all terms in equation 1 by 3. So....

2x + 3y = 13 becomes 6x +9y = 39

next subtract equation 1 (new) from equation 2. So....

6x + 9y = 39 (equation 1 new)
- 6x + 4y = 24 (equation 2)
_____________
5y = 15

Next divide both sides by 5 to give y.....

y = 15/5
y = 3

So now you know y, substitute y into equation 1.

2x + 3y = 13, which gives 2x + 3*3 = 13
2x + 9 = 13 (subtract 9 from both sides)
2x = 13-9
2x = 4 (divide both sides by 2)
x = 2

To check:

Sustitute the values for x & y into equation 2.

6x + 4y = 24

gives (6*2) + (4*3) = 24

12 + 12 = 24

Should be able to work out all sorts now. Remeber when multiplying 2 negative values the result is positive!
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Old Jun 22, 2007, 10:13 AM   #3  
angelinside94
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Im in the 8th grade and I just passed Algebra and what colbtech just said is exactly how I learned it and I got the Top Acedemic award so that should help.
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