SOLUTION: using elimination method solve: 2y+5x=7 2x-4y=10 (the page isnt coming up right. i hope you get this anyways!) Thanks(:

Question 378670: using elimination method solve:
2y+5x=7
2x-4y=10
(the page isnt coming up right. i hope you get this anyways!)
Thanks(:
Found 2 solutions by richard1234, jim_thompson5910:
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Given
2y + 5x = 7
-4y + 2x = 10
Multiply the first equation by 2:
4y + 10x = 14
-4y + 2x = 10
Add the two equations
12x = 24
x = 2
From this, we obtain y = -3/2.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: the first equation is also (I just rearranged the terms)

Start with the given system of equations:

Multiply the both sides of the first equation by 2.

Distribute and multiply.

So we have the new system of equations:

Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:

Group like terms.

Combine like terms.

Simplify.

Divide both sides by to isolate .

Reduce.

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

Now go back to the first equation.

Plug in .

Multiply.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So the solutions are and .

Which form the ordered pair .

This means that the system is consistent and independent.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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