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Solve By Elimation.

5(x+2) + y+8 = 6

--------- -----

6 9

2x+1 - 5y = 7

------ ---- ---

3 4 4

I found the lowest Common multiple and converted the equations to:

15x + 2y = 62

8x - 15y = 17

So what is the next step? How am I supposed to remove on of the variables any ideas?

Thanks.

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Can anyone help me with this 3 by 3 system by solving?

x+y+2z=0

1/4x-1/4y+1/8z=1

3/2x+y+1/2z=1

I reduced them and got the equations to:

1) x+y+2z=0

2) 4x-4y+2z=16

3) 3x+2y+2z=2

Whats the next step?

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Can anyone help me with this 3 by 3 system by solving?

x+y+2z=0

1/4x-1/4y+1/8z=1

3/2x+y+1/2z=1

I reduced them and got the equations to:

1) x+y+2z=0

2) 4x-4y+2z=16

3) 3x+2y+2z=2

Whats the next step?

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Since you have 3 equations and 3 variables the system is solvable.. so the longest but foolproof way is to substitute one equation in to another one, and substitute again to eliminate the variables until you only have one. Once you solve one variable, substitute back in your second equation to get the second variable. Once you have the first and second variable, solving the last variable should be a piece of cake.

Alternatively, if you're familiar with linear algebra, you can use elementary row operations to reduce the matrix into row echelon form which will give you the solution to the system.

Example 3 of http://tutorial.math.lamar.edu/Classes/Lin...temsOfEqns.aspx is pretty much what you're looking for

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having three equations with three variables does not guarantee that the system has a solution. what about

x + y + z = 1

x + y + z = 2

x + y + z = 3

(three parallel planes in 3-space which do not intersect)?

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