SOLUTION: 2x + 4y=14 5x - 2y =-1

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Question 1129154: 2x + 4y=14 5x - 2y =-1
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
What? 
2x + 4y=14 5x - 2y =-1



THIS?
system%282x+%2B+4y=14%2C+5x+-+2y+=-1%29
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and the question?




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system%282x%2B4y=14%2C10x-4y=-2%29
Add corresponding members to find x.
Use either equation to solve for y.

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
2x + 4y = 14      (1)
5x - 2y = -1      (2)


In equation (1), divide both sides by 2.  Keep equation (2) as is.  You will get


 x + 2y =  7       (1')
5x - 2y = -1       (2')


Add equations (1') and (2') to eliminate y. You will get

x + 5x = 7 + (-1)

6x     = 6

 x =     6/6 = 1.


Substitute it into eq(1') to get  2y = 7 - 1 = 6,  y = 6/2 = 3.


Answer.  x= 1;  y= 3.

Solved.

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