Math Elimination Equations Algebra
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Math Elimination Equations Algebra

[From: ] [author: ] [Date: 11-05-10] [Hit: ]
and everything on the bottom equation by 3 so you also get 6 y, which gives the pair:4x + 6y = 16(remember to times everything, on both sides)3x + 6y = 15You can then solve this pair of equations normally.Hope I help, I never use to understand this :)-Ok, heres how you do this:1.......

5 + 2n = 7
2n = 2
n = 2/1
n = 1

Hope i helped :)

One last tip, if your given any harder questions on this topic you can sometimes get a pair of equations where there are not a pair of equal values. To solve this you must create a pair of equal values, for example if the origional equations are:

2x + 3y = 8
x + 2y = 5

You multiply everything in the first equation by 2, so that you get 6y, and everything on the bottom equation by 3 so you also get 6 y, which gives the pair:

4x + 6y = 16 (remember to times everything, on both sides)
3x + 6y = 15

You can then solve this pair of equations normally.

Hope I help, I never use to understand this :)

-
Ok, here's how you do this:

1.
2a - 3b = -11
a + 3b = 8

Just solve it as if you were adding something. Have fun, draw a horizontal line under it, make it look elementary... yeah...

You will get

2a + a - 3b + 3b = -11 + 8
3a + 0b = -3
3a = -3
a = -1

Finding b is pretty simple. Just apply the value of a to any one of the equations to find it::
a + 3b = 8
-1 + 3b = 8
3b = 9
b = 3

Those answers fit... but do you see what's going on here?
We are trying to eliminate one of the variables to find the other one first, hence the name elimination method, so then we can apply the value to find the second variable.

Now for the second one.

3.
6x + 2y = -10
2x + 2y = -10

Before you start adding, you're going to have to do some minor tweaking.
Multiply both sides of any equation by -1 so we may eliminate one of the variables (y). I'll do this to 2x + 2y = -10

-2x -2y = 10 is what you are going to get.

Now use the elimination method with this equation and 6x + 2y = -10

6x + 2y = -10
-2x -2y = 10

You will get 4x = 0 so x = 0
Apply this to one of the equations:
2y = -10
y = -5 ----Yes, -5. Check it, it works
keywords: Equations,Elimination,Algebra,Math,Math Elimination Equations Algebra
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